Precalculus (6th Edition)
Precalculus (6th Edition)
6th Edition
ISBN: 9780134469140
Author: Robert F. Blitzer
Publisher: PEARSON
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Concept explainers

Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
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Chapter 4.4, Problem 97PE

In Exercises 93-98, let

f ( x ) = sin x , g ( x ) = cos x ,   and   h ( x ) = 2 x .

Find the exact value of each expression. Do not use a calculator.

the average rate of change of f from

x 1 = 5 π 4   to   x 2 = 3 π 2

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Chapter 4 Solutions

Precalculus (6th Edition)

Ch. 4.1 - Check Point 1 A central angle, , in a circle of...Ch. 4.1 - Check Point 2 Convert each angle in degrees to...Ch. 4.1 - Prob. 3CPCh. 4.1 - Check Point 4 Draw and label each angle in...Ch. 4.1 - Check Point 5 Find a positive angle less than 360...Ch. 4.1 - Check Point 6 Find a positive angle less than 2...Ch. 4.1 - Check Point 7 Find a positive angle less than 360...Ch. 4.1 - Check Point 8 A circle has a radius of 6 inches....Ch. 4.1 - Check Point 9 Long before iPods that hold...Ch. 4.1 - Fill in each blank so that the resulting statement...
Ch. 4.1 - Fill in each blank so that the resulting statement...Ch. 4.1 - Fill in each blank so that the resulting statement...Ch. 4.1 - Fill in each blank so that the resulting statement...Ch. 4.1 - Prob. 5CVCCh. 4.1 - Prob. 6CVCCh. 4.1 - Prob. 7CVCCh. 4.1 - Fill in each blank so that the resulting statement...Ch. 4.1 - Prob. 9CVCCh. 4.1 - Prob. 10CVCCh. 4.1 - In Exercises 1-6, the measure of an angle is...Ch. 4.1 - In Exercises 1-6, the measure of an angle is...Ch. 4.1 - In Exercises 1-6, the measure of an angle is...Ch. 4.1 - In Exercises 1-6, the measure of an angle is...Ch. 4.1 - In Exercises 1-6, the measure of an angle is...Ch. 4.1 - In Exercises 1-6, the measure of an angle is...Ch. 4.1 - In Exercises 7-12, find the radian measure of the...Ch. 4.1 - In Exercises 7-12, find the radian measure of the...Ch. 4.1 - In Exercises 7-12, find the radian measure of the...Ch. 4.1 - In Exercises 7-12, find the radian measure of the...Ch. 4.1 - In Exercises 7-12, find the radian measure of the...Ch. 4.1 - In Exercises 7-12, find the radian measure of the...Ch. 4.1 - In Exercises 13-20, convert each angle in degrees...Ch. 4.1 - In Exercises 13-20, convert each angle in degrees...Ch. 4.1 - In Exercises 13-20, convert each angle in degrees...Ch. 4.1 - In Exercises 13-20, convert each angle in degrees...Ch. 4.1 - In Exercises 13-20, convert each angle in degrees...Ch. 4.1 - In Exercises 13-20, convert each angle in degrees...Ch. 4.1 - In Exercises 13-20, convert each angle in degrees...Ch. 4.1 - In Exercises 13-20, convert each angle in degrees...Ch. 4.1 - In Exercises 21-28, convert each angle in radians...Ch. 4.1 - In Exercises 21-28, convert each angle in radians...Ch. 4.1 - In Exercises 21-28, convert each angle in radians...Ch. 4.1 - In Exercises 21-28, convert each angle in radians...Ch. 4.1 - In Exercises 21-28, convert each angle in radians...Ch. 4.1 - In Exercises 21-28, convert each angle in radians...Ch. 4.1 - In Exercises 21-28, convert each angle in radians...Ch. 4.1 - In Exercises 21-28, convert each angle in radians...Ch. 4.1 - In Exercises 29-34. convert each angle in degrees...Ch. 4.1 - In Exercises 29-34. convert each angle in degrees...Ch. 4.1 - In Exercises 29-34. convert each angle in degrees...Ch. 4.1 - In Exercises 29-34. convert each angle in degrees...Ch. 4.1 - In Exercises 29-34. convert each angle in degrees...Ch. 4.1 - In Exercises 29-34. convert each angle in degrees...Ch. 4.1 - In Exercises 35-40, convert each angle in radians...Ch. 4.1 - In Exercises 35-40, convert each angle in radians...Ch. 4.1 - In Exercises 35-40, convert each angle in radians...Ch. 4.1 - In Exercises 35-40, convert each angle in radians...Ch. 4.1 - In Exercises 35-40, convert each angle in radians...Ch. 4.1 - In Exercises 35-40, convert each angle in radians...Ch. 4.1 - In Exercises 41-56, use the circle shown in the...Ch. 4.1 - In Exercises 41-56, use the circle shown in the...Ch. 4.1 - In Exercises 41-56, use the circle shown in the...Ch. 4.1 - In Exercises 41-56, use the circle shown in the...Ch. 4.1 - In Exercises 41-56, use the circle shown in the...Ch. 4.1 - In Exercises 41-56, use the circle shown in the...Ch. 4.1 - In Exercises 41-56, use the circle shown in the...Ch. 4.1 - In Exercises 41-56, use the circle shown in the...Ch. 4.1 - In Exercises 41-56, use the circle shown in the...Ch. 4.1 - In Exercises 41-56, use the circle shown in the...Ch. 4.1 - In Exercises 41-56, use the circle shown in the...Ch. 4.1 - In Exercises 41-56, use the circle shown in the...Ch. 4.1 - In Exercises 41-56, use the circle shown in the...Ch. 4.1 - In Exercises 41-56, use the circle shown in the...Ch. 4.1 - In Exercises 41-56, use the circle shown in the...Ch. 4.1 - In Exercises 41-56, use the circle shown in the...Ch. 4.1 - In Exercises 57-70, find a positive angle less...Ch. 4.1 - In Exercises 57-70, find a positive angle less...Ch. 4.1 - In Exercises 57-70, find a positive angle less...Ch. 4.1 - In Exercises 57-70, find a positive angle less...Ch. 4.1 - In Exercises 57-70, find a positive angle less...Ch. 4.1 - In Exercises 57-70, find a positive angle less...Ch. 4.1 - In Exercises 57-70, find a positive angle less...Ch. 4.1 - In Exercises 57-70, find a positive angle less...Ch. 4.1 - In Exercises 57-70, find a positive angle less...Ch. 4.1 - In Exercises 57-70, find a positive angle less...Ch. 4.1 - In Exercises 57-70, find a positive angle less...Ch. 4.1 - In Exercises 57-70, find a positive angle less...Ch. 4.1 - In Exercises 57-70, find a positive angle less...Ch. 4.1 - In Exercises 57-70, find a positive angle less...Ch. 4.1 - In Exercises 71-74, find the length of the arc on...Ch. 4.1 - In Exercises 71-74, find the length of the arc on...Ch. 4.1 - In Exercises 71-74, find the length of the arc on...Ch. 4.1 - In Exercises 71-74, find the length of the arc on...Ch. 4.1 - In Exercises 75-76, express each angular speed in...Ch. 4.1 - In Exercises 75-76, express each angular speed in...Ch. 4.1 - Use the circle shown in the rectangular coordinate...Ch. 4.1 - Use the circle shown in the rectangular coordinate...Ch. 4.1 - Use the circle shown in the rectangular coordinate...Ch. 4.1 - Use the circle shown in the rectangular coordinate...Ch. 4.1 - Use the circle shown in the rectangular coordinate...Ch. 4.1 - Use the circle shown in the rectangular coordinate...Ch. 4.1 - In Exercises 83-86. find the absolute value of the...Ch. 4.1 - In Exercises 83-86. find the absolute value of the...Ch. 4.1 - In Exercises 83-86. find the absolute value of the...Ch. 4.1 - In Exercises 83-86. find the absolute value of the...Ch. 4.1 - The minute hand of a clock moves from 12 to 2...Ch. 4.1 - The minute hand of a clock moves from 12 to 4...Ch. 4.1 - 89. The minute hand of a clock is 8 inches long...Ch. 4.1 - 90. The minute hand of a clock is 6 inches long...Ch. 4.1 - 91. The figure shows a highway sign that warns of...Ch. 4.1 - 92. The radius of a wheel rolling on the ground is...Ch. 4.1 - How do we measure the distance between two points,...Ch. 4.1 - Prob. 94PECh. 4.1 - How do we measure the distance between two points,...Ch. 4.1 - How do we measure the distance between two points,...Ch. 4.1 - 91. The angular speed of a point on Earth is ...Ch. 4.1 - A Ferris wheel has a radius of 25 feet. The wheel...Ch. 4.1 - Prob. 99PECh. 4.1 - On a carousel, the outer row of animals is 20 feet...Ch. 4.1 - Prob. 101PECh. 4.1 - Prob. 102PECh. 4.1 - Describe an angle in standard position.Ch. 4.1 - Prob. 104PECh. 4.1 - Prob. 105PECh. 4.1 - Prob. 106PECh. 4.1 - Prob. 107PECh. 4.1 - Prob. 108PECh. 4.1 - Prob. 109PECh. 4.1 - If a carousel is rotating at 2.5 revolutions per...Ch. 4.1 - Prob. 111PECh. 4.1 - Prob. 112PECh. 4.1 - Prob. 113PECh. 4.1 - Prob. 114PECh. 4.1 - Prob. 115PECh. 4.1 - Prob. 116PECh. 4.1 - Prob. 117PECh. 4.1 - Prob. 118PECh. 4.1 - Prob. 119PECh. 4.1 - Make Sense? In Exercises 117-120, determine...Ch. 4.1 - Prob. 121PECh. 4.1 - Prob. 122PECh. 4.1 - Prob. 123PECh. 4.1 - Prob. 124PECh. 4.1 - Prob. 125PECh. 4.1 - Prob. 126PECh. 4.1 - Prob. 127PECh. 4.1 - Prob. 128PECh. 4.1 - Exercises 127-129 will help you prepare for the...Ch. 4.2 - Check Point 1 Use the figure on the right to find...Ch. 4.2 - Check Point 2 Use the figure on the right to find...Ch. 4.2 - Check Point 3 Find csc4, sec4, and cot4.Ch. 4.2 - Check Point 4 Find the value of each trigonometric...Ch. 4.2 - Check Point 5 Given sint=23 and cost=53, find the...Ch. 4.2 - Check Point 6 Given that and , find the value of...Ch. 4.2 - Prob. 7CPCh. 4.2 - Prob. 8CPCh. 4.2 - Prob. 1CVCCh. 4.2 - Prob. 2CVCCh. 4.2 - Fill in each blank so that the resulting statement...Ch. 4.2 - Prob. 4CVCCh. 4.2 - Prob. 5CVCCh. 4.2 - Prob. 6CVCCh. 4.2 - Prob. 7CVCCh. 4.2 - Prob. 8CVCCh. 4.2 - Prob. 9CVCCh. 4.2 - Prob. 10CVCCh. 4.2 - Prob. 11CVCCh. 4.2 - Prob. 12CVCCh. 4.2 - Prob. 13CVCCh. 4.2 - In Exercises 1-4, a point P(x, y ) is shown on the...Ch. 4.2 - In Exercises 1-4, a point P(x, y) is shown on the...Ch. 4.2 - In Exercises 1-4, a point P(x, y) is shown on the...Ch. 4.2 - In Exercises 1-4, a point P(x, y) is shown on the...Ch. 4.2 - In Exercises 5-18, the unit circle has been...Ch. 4.2 - In Exercises 5 18 . the unit circle has been...Ch. 4.2 - In Exercises 5-18. the unit circle has been...Ch. 4.2 - In Exercises 5 -18 , the unit circle has been...Ch. 4.2 - In Exercises 5 -18 , the unit circle has been...Ch. 4.2 - In Exercises 5 -18 , the unit circle has been...Ch. 4.2 - In Exercises 5-18, the unit circle has been...Ch. 4.2 - In Exercises 5-18, the unit circle has been...Ch. 4.2 - In Exercises 5-18. the unit circle has been...Ch. 4.2 - In Exercises 5-18, the unit circle has been...Ch. 4.2 - In Exercises 5-18, the unit circle has been...Ch. 4.2 - In Exercises 5-18, the unit circle has been...Ch. 4.2 - In Exercises 5-18, the unit circle has been...Ch. 4.2 - In Exercises 5-18. the unit circle has been...Ch. 4.2 - In Exercises 19-24. a. Use the unit circle shown...Ch. 4.2 - In Exercises 19-24. a. Use the unit circle shown...Ch. 4.2 - In Exercises 19-24. a. Use the unit circle shown...Ch. 4.2 - In Exercises 5-18, the unit circle has been...Ch. 4.2 - In Exercises 19-24. a. Use the unit circle shown...Ch. 4.2 - In Exercises 5-18, the unit circle has been...Ch. 4.2 - In Exercises 25-28, sin t and cos t are given. Use...Ch. 4.2 - In Exercises 25-28, sin t and cos t are given. Use...Ch. 4.2 - In Exercises 25-28, sin t and cos t are given. Use...Ch. 4.2 - In Exercises 25-28, sin t and cos t are given. Use...Ch. 4.2 - In Exercises 29-32, 0t2 and sin t is given, Use...Ch. 4.2 - In Exercises 29-32, 0t2 and sin t is given, Use...Ch. 4.2 - In Exercises 29-32, and sin t is given, Use the...Ch. 4.2 - In Exercises 29-32, and sin t is given, Use the...Ch. 4.2 - In Exercises 33-38, use an identity to find the...Ch. 4.2 - In Exercises 33-38, use an identity to find the...Ch. 4.2 - In Exercises 33-38, use an identity to find the...Ch. 4.2 - In Exercises 33-38, use an identity to find the...Ch. 4.2 - In Exercises 33-38, use an identity to find the...Ch. 4.2 - In Exercises 33-38, use an identity to find the...Ch. 4.2 - In Exercises 39-52, find the exact value of each...Ch. 4.2 - In Exercises 39-52, find the exact value of each...Ch. 4.2 - In Exercises 39-52, find the exact value of each...Ch. 4.2 - In Exercises 39-52, find the exact value of each...Ch. 4.2 - In Exercises 39-52, find the exact value of each...Ch. 4.2 - In Exercises 39-52, find the exact value of each...Ch. 4.2 - In Exercises 39-52, find the exact value of each...Ch. 4.2 - In Exercises 39-52, find the exact value of each...Ch. 4.2 - In Exercises 39-52, find the exact value of each...Ch. 4.2 - In Exercises 39-52, find the exact value of each...Ch. 4.2 - In Exercises 39-52, find the exact value of each...Ch. 4.2 - In Exercises 39-52, find the exact value of each...Ch. 4.2 - In Exercises 39-52, find the exact value of each...Ch. 4.2 - In Exercises 39-52, find the exact value of each...Ch. 4.2 - In Exercises 23-32, the unit circle has been...Ch. 4.2 - In Exercises 25-32, the unit circle has been...Ch. 4.2 - In Exercises 25-32, the unit circle has been...Ch. 4.2 - In Exercises 25-32, the unit circle has been...Ch. 4.2 - In Exercises 25-32, the unit circle has been...Ch. 4.2 - In Exercises 25-32, the unit circle has been...Ch. 4.2 - In Exercises 23-32, the unit circle has been...Ch. 4.2 - In Exercises 25-32, the unit circle has been...Ch. 4.2 - In Exercises 61-70, use a calculator to find the...Ch. 4.2 - In Exercises 61-70, use a calculator to find the...Ch. 4.2 - In Exercises 61-70, use a calculator to find the...Ch. 4.2 - In Exercises 61-70, use a calculator to find the...Ch. 4.2 - In Exercises 61-70, use a calculator to find the...Ch. 4.2 - In Exercises 61-70, use a calculator to find the...Ch. 4.2 - In Exercises 61-70, use a calculator to find the...Ch. 4.2 - In Exercises 61-70, use a calculator to find the...Ch. 4.2 - In Exercises 61-70, use a calculator to find the...Ch. 4.2 - In Exercises 61-70, use a calculator to find the...Ch. 4.2 - In Exercises 33-42, let . Write each expression in...Ch. 4.2 - In Exercises 33-42, let sint=a,cost=b,andtant=c....Ch. 4.2 - In Exercises 33-42, let Write each expression in...Ch. 4.2 - In Exercises 33-42, let sint=a,cost=b,andtant=c....Ch. 4.2 - In Exercises 33-42, let . Write each expression in...Ch. 4.2 - In Exercises 33-42, let . Write each expression in...Ch. 4.2 - In Exercises 33-42, let . Write each expression in...Ch. 4.2 - In Exercises 33-42, let sint=a,cost=b,andtant=c....Ch. 4.2 - Practice Plus In Exercises 33-42, let...Ch. 4.2 - Practice Plus In Exercises 33 -42 , let . Write...Ch. 4.2 - Application Exercises In Exercises 43 -44 , use a...Ch. 4.2 - Application Exercises In Exercises 43-44, use a...Ch. 4.2 - Application Exercises In Exercises 43-44, use a...Ch. 4.2 - 46. The height of the water, H, in feet, at a boat...Ch. 4.2 - 47. Why are the trigonometric functions sometimes...Ch. 4.2 - 86. Define the sine of t. Ch. 4.2 - Prob. 87PECh. 4.2 - What is the range of the sine function? Use the...Ch. 4.2 - Explain how to use the unit circle to find values...Ch. 4.2 - 49. What do we mean by even trigonometric...Ch. 4.2 - Use words (not an equation) to describe one of the...Ch. 4.2 - 92. Use words (not an equation) to describe one of...Ch. 4.2 - 93. Use words (not an equation) to describe one of...Ch. 4.2 - What is a periodic function? Why are the sine and...Ch. 4.2 - Explain how you can use the function for emotional...Ch. 4.2 - 52. Describe a phenomenon that repeats...Ch. 4.2 - Make Sense? In Exercises 53-56, determine whether...Ch. 4.2 - Make Sense? In Exercises 53-56, determine whether...Ch. 4.2 - Make Sense? In Exercises 53-56, determine whether...Ch. 4.2 - Make Sense? In Exercises 53-56, determine whether...Ch. 4.2 - Find the exact value of...Ch. 4.2 - 58. If and , find the value of . Ch. 4.2 - 59. If and , find the value of . Ch. 4.2 - The seats of a Ferris wheel are 40 feet from the...Ch. 4.2 - 61. If , find , and simplify. (Section 2.2 ....Ch. 4.2 - 62. Solve and graph the solution set on a number...Ch. 4.2 - Use the exponential growth model, A=A0ekt, to...Ch. 4.2 - If a=5 and b=12, find the ratio of the length of...Ch. 4.2 - If a=1 and b=1, find the ratio of the length of...Ch. 4.2 - Simplify: (ac)2+(bc)2.Ch. 4.3 - Check Point 1 Find the value of each of the six...Ch. 4.3 - Check Point 2 Find the value of each of the six...Ch. 4.3 - Prob. 3CPCh. 4.3 - Check Point 4 Use Figure 4.35 to find tan 60° and...Ch. 4.3 - Check Point 5 Find a cofunction with the same...Ch. 4.3 - Check Point 6 The irregular blue shape in Figure...Ch. 4.3 - Prob. 7CPCh. 4.3 - Fill in each blank so that the resulting statement...Ch. 4.3 - Prob. 2CVCCh. 4.3 - Prob. 3CVCCh. 4.3 - Prob. 4CVCCh. 4.3 - In Exercises 1-8, use the Pythagorean Theorem to...Ch. 4.3 - In Exercises 1-8, use the Pythagorean Theorem to...Ch. 4.3 - In Exercises 1-8 use the Pythagorean Theorem to...Ch. 4.3 - In Exercises 1-8, use the Pythagorean Theorem to...Ch. 4.3 - In Exercises 1-8, use the Pythagorean Theorem to...Ch. 4.3 - In Exercises 1-8, use the Pythagorean Theorem to...Ch. 4.3 - In Exercises 1-8, use the Pythagorean Theorem to...Ch. 4.3 - In Exercises 1-8, use the Pythagorean Theorem to...Ch. 4.3 - In Exercises 9-16, use the given triangles to...Ch. 4.3 - In Exercises 9-16, use the given triangles to...Ch. 4.3 - In Exercises 9-16, use the given triangles to...Ch. 4.3 - In Exercises 9-16, use the given triangles to...Ch. 4.3 - In Exercises 9-16, use the given triangles to...Ch. 4.3 - In Exercises 9-16, use the given triangles to...Ch. 4.3 - In Exercises 9-16, use the given triangles to...Ch. 4.3 - In Exercises 9-16, use the given triangles to...Ch. 4.3 - In Exercises 9-20, use the given triangles to...Ch. 4.3 - In Exercises 9-20, use the given triangles to...Ch. 4.3 - In Exercises 9-20, use the given triangles to...Ch. 4.3 - In Exercises 9-20, use the given triangles to...Ch. 4.3 - In Exercises 31-38, find a cofunction with the...Ch. 4.3 - In Exercises 31-38, find a cofunction with the...Ch. 4.3 - In Exercises 31-38, find a cofunction with the...Ch. 4.3 - In Exercises 31-38, find a cofunction with the...Ch. 4.3 - In Exercises 31-38, find a cofunction with the...Ch. 4.3 - In Exercises 31-38, find a cofunction with the...Ch. 4.3 - In Exercises 31-38, find a cofunction with the...Ch. 4.3 - In Exercises 31-38, find a cofunction with the...Ch. 4.3 - In Exercises 49-54, find the measure of the side...Ch. 4.3 - In Exercises 49-54, find the measure of the side...Ch. 4.3 - In Exercises 49-54, find the measure of the side...Ch. 4.3 - In Exercises 49-54, find the measure of the side...Ch. 4.3 - In Exercises 49-54, find the measure of the side...Ch. 4.3 - In Exercises 49-54, find the measure of the side...Ch. 4.3 - In Exercises 55-58, use a calculator to find the...Ch. 4.3 - In Exercises 55-58, use a calculator to find the...Ch. 4.3 - In Exercises 55-58, use a calculator to find the...Ch. 4.3 - In Exercises 55-58, use a calculator to find the...Ch. 4.3 - In Exercises 59-62, use a calculator to find the...Ch. 4.3 - In Exercises 59-62, use a calculator to find the...Ch. 4.3 - In Exercises 59-62, use a calculator to find the...Ch. 4.3 - In Exercises 59-62, use a calculator to find the...Ch. 4.3 - In Exercises 63-68, find the exact value of each...Ch. 4.3 - In Exercises 63-68, find the exact value of each...Ch. 4.3 - In Exercises 63-68, find the exact value of each...Ch. 4.3 - In Exercises 63-68, find the exact value of each...Ch. 4.3 - In Exercises 63-68, find the exact value of each...Ch. 4.3 - In Exercises 63-68, find the exact value of each...Ch. 4.3 - In Exercises 69-70, express the exact value of...Ch. 4.3 - In Exercises 69-70, express the exact value of...Ch. 4.3 - If is an acute angle and cot=14, find tan(3).Ch. 4.3 - If is an acute angle and cos=13, find csc(2).Ch. 4.3 - 73. To find the distance across a lake, a surveyor...Ch. 4.3 - 74. At a certain time of day, the angle of...Ch. 4.3 - 75. A tower that is 125 feet tall casts a shadow...Ch. 4.3 - 76. The Washington Monument is 555 feet high. If...Ch. 4.3 - 77. A plane rises from take-off and flies at an...Ch. 4.3 - A road is inclined at an angle of 5. After driving...Ch. 4.3 - A telephone pole is 60 feet tall. A guy wire 75...Ch. 4.3 - 80. A telephone pole is 55 feet tall. A guy wire...Ch. 4.3 - 81. If you are given the lengths of the sides of a...Ch. 4.3 - 82. Describe one similarity and one difference...Ch. 4.3 - 83. Describe the triangle used to find the...Ch. 4.3 - 84. Describe the triangle used to find the...Ch. 4.3 - Describe a relationship among trigonometric...Ch. 4.3 - 90. Describe what is meant by an angle of...Ch. 4.3 - Stonehenge, the famous stone circle" in England,...Ch. 4.3 - 92. Use a calculator in the radian mode to fill in...Ch. 4.3 - 93. Use a calculator in the radian mode to fill in...Ch. 4.3 - Make Sense? In Exercises 94-97, determine whether...Ch. 4.3 - Make Sense? In Exercises 94-97, determine whether...Ch. 4.3 - Make Sense? In Exercises 70-73, determine whether...Ch. 4.3 - Make Sense? In Exercises 94-97, determine whether...Ch. 4.3 - In Exercises 98-101, determine whether each...Ch. 4.3 - In Exercises 98-101, determine whether each...Ch. 4.3 - In Exercises 98-101, determine whether each...Ch. 4.3 - In Exercises 98-101, determine whether each...Ch. 4.3 - 102. Explain why the sine or cosine of an acute...Ch. 4.3 - 103. Describe what happens to the tangent of an...Ch. 4.3 - From the top of a 250-foot lighthouse, a plane is...Ch. 4.3 - 105. Solve: ..(Section 1.6. Example 9) Ch. 4.3 - Write an equation in slope-intercept form for the...Ch. 4.3 - Solve: log4(x29)log4(x+3)=log464.(Section 4.4....Ch. 4.3 - Exercises 108-110 will help you prepare for the...Ch. 4.3 - Exercises 108-110 will help you prepare for the...Ch. 4.3 - Exercises 108-108 will help you prepare for the...Ch. 4.4 - Check Point 1 Let P = (1, -3) be a point on the...Ch. 4.4 - Prob. 2CPCh. 4.4 - Check Point 3 If sin < 0 and cos < 0, name the...Ch. 4.4 - Prob. 4CPCh. 4.4 - Prob. 5CPCh. 4.4 - Check Point 6 Find the reference angle for each of...Ch. 4.4 - Prob. 7CPCh. 4.4 - Prob. 8CPCh. 4.4 - Prob. 1CVCCh. 4.4 - Prob. 2CVCCh. 4.4 - Prob. 3CVCCh. 4.4 - Prob. 4CVCCh. 4.4 - Prob. 5CVCCh. 4.4 - Fill in each blank so that the resulting statement...Ch. 4.4 - Prob. 7CVCCh. 4.4 - In Exercises 1-8, a point on the terminal side of...Ch. 4.4 - In Exercises 1-8, a point on the terminal side of...Ch. 4.4 - In Exercises 1-8, a point on the terminal side of...Ch. 4.4 - In Exercises 1-8, a point on the terminal side of...Ch. 4.4 - In Exercises 1-8, a point on the terminal side of...Ch. 4.4 - In Exercises 1-8, a point on the terminal side of...Ch. 4.4 - In Exercises 1-8, a point on the terminal side of...Ch. 4.4 - In Exercises 1-8, a point on the terminal side of...Ch. 4.4 - In Exercises 9-16, evaluate the trigonometric...Ch. 4.4 - In Exercises 9-16, evaluate the trigonometric...Ch. 4.4 - In Exercises 9-16, evaluate the trigonometric...Ch. 4.4 - In Exercises 9-16, evaluate the trigonometric...Ch. 4.4 - In Exercises 9-16, evaluate the trigonometric...Ch. 4.4 - In Exercises 9-16, evaluate the trigonometric...Ch. 4.4 - In Exercises 9-16, evaluate the trigonometric...Ch. 4.4 - In Exercises 9-16, evaluate the trigonometric...Ch. 4.4 - In Exercises 17-22, let be an angle in standard...Ch. 4.4 - In Exercises 17-22, let be an angle in standard...Ch. 4.4 - In Exercises 17-22, let be an angle in standard...Ch. 4.4 - In Exercises 17-22, let be an angle in standard...Ch. 4.4 - In Exercises 17-22, let be an angle in standard...Ch. 4.4 - In Exercises 17-22, let be an angle in standard...Ch. 4.4 - In Exercises 23-34, find the exact value of each...Ch. 4.4 - In Exercises 23-34, find the exact value of each...Ch. 4.4 - In Exercises 23-34, find the exact value of each...Ch. 4.4 - In Exercises 23-34, find the exact value of each...Ch. 4.4 - In Exercises 23-34, find the exact value of each...Ch. 4.4 - In Exercises 23-34, find the exact value of each...Ch. 4.4 - In Exercises 23-34, find the exact value of each...Ch. 4.4 - In Exercises 23-34, find the exact value of each...Ch. 4.4 - In Exercises 23-34, find the exact value of each...Ch. 4.4 - In Exercises 23-34, find the exact value of each...Ch. 4.4 - In Exercises 23-34, find the exact value of each...Ch. 4.4 - In Exercises 23-34, find the exact value of each...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 35-60, find the reference angle for...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 61-86, use reference angles to find...Ch. 4.4 - In Exercises 87-92, find the exact value of each...Ch. 4.4 - In Exercises 87-92, find the exact value of each...Ch. 4.4 - In Exercises 87-92, find the exact value of each...Ch. 4.4 - In Exercises 87-92, find the exact value of each...Ch. 4.4 - In Exercises 87-92, find the exact value of each...Ch. 4.4 - In Exercises 87-92, find the exact value of each...Ch. 4.4 - In Exercises 93-98, let . Find the exact value of...Ch. 4.4 - In Exercises 93-98, let...Ch. 4.4 - In Exercises 93-98, let...Ch. 4.4 - In Exercises 93-98, let . Find the exact value of...Ch. 4.4 - In Exercises 93-98, let...Ch. 4.4 - In Exercises 93-98, let...Ch. 4.4 - In Exercises 99-104, find two values of , that...Ch. 4.4 - In Exercises 99-104, find two values of , that...Ch. 4.4 - In Exercises 99-104, find two values of , that...Ch. 4.4 - In Exercises 99-104, find two values of ,02, that...Ch. 4.4 - In Exercises 99-104, find two values of ,02, that...Ch. 4.4 - In Exercises 99-104, find two values of , that...Ch. 4.4 - 105. If you are given a point on the terminal side...Ch. 4.4 - Explain why tan 90 is undefined.Ch. 4.4 - 107. If and , explain how to find the quadrant in...Ch. 4.4 - 108. What is a reference angle? Give an example...Ch. 4.4 - Explain how reference angles are used to evaluate...Ch. 4.4 - Make Sense? In Exercises 110-113, determine...Ch. 4.4 - Make Sense? In Exercises 110-113, determine...Ch. 4.4 - Make Sense? In Exercises 110-113, determine...Ch. 4.4 - Make Sense? In Exercises 110-113, determine...Ch. 4.4 - 114. Graph: (Section 3.5, Example 6) Ch. 4.4 - 115. Simplify: . (Section 4.2, Example 5) Ch. 4.4 - Solve: 9e3x4=32. Find the solution set and then...Ch. 4.4 - Prob. 117PECh. 4.4 - Prob. 118PECh. 4.4 - Prob. 119PECh. 4.4 - In Exercises 1-2 convert each angle in degrees to...Ch. 4.4 - In Exercises 1-2, convert each angle in degrees to...Ch. 4.4 - In Exercises 3-4, convert each angle in radians to...Ch. 4.4 - In Exercises 3-4, convert each angle in radians to...Ch. 4.4 - In Exercises 5-7, a. Find a positive angle less...Ch. 4.4 - In Exercises 5-7, a. Find a positive angle less...Ch. 4.4 - In Exercises 5-7, a. Find a positive angle less...Ch. 4.4 - Use the point shown on the unit circle to find...Ch. 4.4 - 8. Use the triangle to find each of the six...Ch. 4.4 - 9. Use the point on the terminal side of to find...Ch. 4.4 - In Exercises 11-12, find the exact value of the...Ch. 4.4 - In Exercises 11-12, find the exact value of the...Ch. 4.4 - In Exercises 13-14. find the measure of the side...Ch. 4.4 - In Exercises 13-14. find the measure of the side...Ch. 4.4 - If cos=16 and is acute, find cot(2).Ch. 4.4 - In Exercises 16-26, find the exact value of each...Ch. 4.4 - In Exercises 16-26, find the exact value of each...Ch. 4.4 - In Exercises 16-26, find the exact value of each...Ch. 4.4 - In Exercises 16-26, find the exact value of each...Ch. 4.4 - In Exercises 16-26, find the exact value of each...Ch. 4.4 - In Exercises 16-26, find the exact value of each...Ch. 4.4 - In Exercises 16-26, find the exact value of each...Ch. 4.4 - In Exercises 16-26, find the exact value of each...Ch. 4.4 - In Exercises 16-26, find the exact value of each...Ch. 4.4 - In Exercises 16-26, find the exact value of each...Ch. 4.4 - Prob. 26MCCPCh. 4.4 - Prob. 27MCCPCh. 4.4 - Prob. 28MCCPCh. 4.4 - Prob. 29MCCPCh. 4.4 - Prob. 30MCCPCh. 4.5 - Check Point 1 Determine the amplitude of y=3sinx ....Ch. 4.5 - Check Point 2 Determine the amplitude of . Then...Ch. 4.5 - Prob. 3CPCh. 4.5 - Prob. 4CPCh. 4.5 - Prob. 5CPCh. 4.5 - Check Point 6 Determine the amplitude, period, and...Ch. 4.5 - Prob. 7CPCh. 4.5 - Prob. 8CPCh. 4.5 - Prob. 9CPCh. 4.5 - Prob. 1CVCCh. 4.5 - Prob. 2CVCCh. 4.5 - Prob. 3CVCCh. 4.5 - Prob. 4CVCCh. 4.5 - Prob. 5CVCCh. 4.5 - Prob. 6CVCCh. 4.5 - Prob. 7CVCCh. 4.5 - Prob. 8CVCCh. 4.5 - Prob. 9CVCCh. 4.5 - Prob. 10CVCCh. 4.5 - Prob. 1PECh. 4.5 - Prob. 2PECh. 4.5 - Prob. 3PECh. 4.5 - Prob. 4PECh. 4.5 - Prob. 5PECh. 4.5 - Prob. 6PECh. 4.5 - Prob. 7PECh. 4.5 - Prob. 8PECh. 4.5 - Prob. 9PECh. 4.5 - Prob. 10PECh. 4.5 - Prob. 11PECh. 4.5 - Prob. 12PECh. 4.5 - Prob. 13PECh. 4.5 - Prob. 14PECh. 4.5 - Prob. 15PECh. 4.5 - Prob. 16PECh. 4.5 - In Exercises 17-30, determine the amplitude,...Ch. 4.5 - Prob. 18PECh. 4.5 - Prob. 19PECh. 4.5 - Prob. 20PECh. 4.5 - Prob. 21PECh. 4.5 - Prob. 22PECh. 4.5 - Prob. 23PECh. 4.5 - Prob. 24PECh. 4.5 - Prob. 25PECh. 4.5 - Prob. 26PECh. 4.5 - In Exercises 17-30, determine the amplitude,...Ch. 4.5 - In Exercises 17-30, determine the amplitude,...Ch. 4.5 - In Exercises 17-30, determine the amplitude,...Ch. 4.5 - In Exercises 17-30, determine the amplitude,...Ch. 4.5 - Prob. 31PECh. 4.5 - Prob. 32PECh. 4.5 - In Exercises 31-34, determine the amplitude of...Ch. 4.5 - Prob. 34PECh. 4.5 - In Exercises 35-42, determine the amplitude and...Ch. 4.5 - In Exercises 35-42, determine the amplitude and...Ch. 4.5 - In Exercises 35-42, determine the amplitude and...Ch. 4.5 - In Exercises 35-42, determine the amplitude and...Ch. 4.5 - In Exercises 35-42, determine the amplitude and...Ch. 4.5 - In Exercises 35-42, determine the amplitude and...Ch. 4.5 - In Exercises 35-42, determine the amplitude and...Ch. 4.5 - In Exercises 35-42, determine the amplitude and...Ch. 4.5 - In Exercises 43-52, determine the amplitude,...Ch. 4.5 - In Exercises 43-52, determine the amplitude,...Ch. 4.5 - In Exercises 43-52, determine the amplitude,...Ch. 4.5 - In Exercises 43-52, determine the amplitude,...Ch. 4.5 - In Exercises 43-52, determine the amplitude,...Ch. 4.5 - In Exercises 43-52, determine the amplitude,...Ch. 4.5 - In Exercises 43-52, determine the amplitude,...Ch. 4.5 - In Exercises 43-52, determine the amplitude,...Ch. 4.5 - In Exercises 43-52, determine the amplitude,...Ch. 4.5 - In Exercises 43-52, determine the amplitude,...Ch. 4.5 - In Exercises 53-60, use a vertical shift to graph...Ch. 4.5 - In Exercises 53-60, use a vertical shift to graph...Ch. 4.5 - In Exercises 53-60, use a vertical shift to graph...Ch. 4.5 - In Exercises 53-60, use a vertical shift to graph...Ch. 4.5 - In Exercises 53-60, use a vertical shift to graph...Ch. 4.5 - In Exercises 53-60, use a vertical shift to graph...Ch. 4.5 - In Exercises 53-60, use a vertical shift to graph...Ch. 4.5 - In Exercises 53-60, use a vertical shift to graph...Ch. 4.5 - In Exercises 61-66, find an equation for each...Ch. 4.5 - In Exercises 61-66, find an equation for each...Ch. 4.5 - In Exercises 61-66, find an equation for each...Ch. 4.5 - In Exercises 61-66, find an equation for each...Ch. 4.5 - In Exercises 61-66, find an equation for each...Ch. 4.5 - In Exercises 61-66, find an equation for each...Ch. 4.5 - In Exercises 67-70, graph one period of each...Ch. 4.5 - In Exercises 67-70, graph one period of each...Ch. 4.5 - In Exercises 67-70, graph one period of each...Ch. 4.5 - In Exercises 67-70, graph one period of each...Ch. 4.5 - In Exercises 71-74, graph f g, and h in the same...Ch. 4.5 - In Exercises 71-74, graph f g, and h in the same...Ch. 4.5 - In Exercises 71-74, graph f, g, and h in the same...Ch. 4.5 - In Exercises 71-74, graph f, g, and h in the same...Ch. 4.5 - In the theory of biorhythms, sine functions are...Ch. 4.5 - In the theory of biorhythms, sine functions are...Ch. 4.5 - In the theory of biorhythms, sine functions are...Ch. 4.5 - In the theory of biorhythms, sine functions are...Ch. 4.5 - In the theory of biorhythms, sine functions are...Ch. 4.5 - In the theory of biorhythms, sine functions are...Ch. 4.5 - In the theory of biorhythms, sine functions are...Ch. 4.5 - In the theory of biorhythms, sine functions are...Ch. 4.5 - Rounded to the nearest hour, Los Angeles averages...Ch. 4.5 - A clock with an hour hand that is 15 inches long...Ch. 4.5 - The number of hours of daylight in Boston is given...Ch. 4.5 - 86. The average monthly temperature, y, in degrees...Ch. 4.5 - 87. The following figure shows the depth of water...Ch. 4.5 - The figure at the top of the next column shows the...Ch. 4.5 - 89. Without drawing a graph, describe the behavior...Ch. 4.5 - What is the amplitude of the sine function? What...Ch. 4.5 - 91. If you are given the equation of a sine...Ch. 4.5 - What does a phase shift indicate about the graph...Ch. 4.5 - Describe a general procedure for obtaining the...Ch. 4.5 - Without drawing a graph, describe the behavior of...Ch. 4.5 - 95. Describe a relationship between the graphs of ...Ch. 4.5 - Describe the relationship between the graphs of...Ch. 4.5 - Biorhythm cycles provide interesting applications...Ch. 4.5 - Use a graphing utility to verify any five of the...Ch. 4.5 - Use a graphing utility to verify any five of the...Ch. 4.5 - Use a graphing utility to verify any two of the...Ch. 4.5 - In Exercises 101-104, use a graphing utility to...Ch. 4.5 - In Exercises 101-104, use a graphing utility to...Ch. 4.5 - In Exercises 101-104, use a graphing utility to...Ch. 4.5 - In Exercises 101-104, use a graphing utility to...Ch. 4.5 - Use a graphing utility to graph y=sinx and...Ch. 4.5 - 106. Use a graphing utility to graph and in a ...Ch. 4.5 - Use a graphing utility to graph...Ch. 4.5 - Use a graphing utility to graph...Ch. 4.5 - The data show the average monthly temperatures for...Ch. 4.5 - 110. Repeat Exercise 109 for data of your choice....Ch. 4.5 - Make Sense? In Exercises 111-114, determine...Ch. 4.5 - Make Sense? In Exercises 111-114, determine...Ch. 4.5 - Make Sense? In Exercises 111-114, determine...Ch. 4.5 - Make Sense? In Exercises 111-114, determine...Ch. 4.5 - 115. Determine the range of each of the following...Ch. 4.5 - Write the equation for a cosine function with...Ch. 4.5 - Use these identities to solve Exercises 117-118....Ch. 4.5 - Use these identities to solve Exercises 117-118....Ch. 4.5 - 120. Find the slant asymptote of . (Section 3.5....Ch. 4.5 - 121. Solve: . (Section 4.4, Example 1) Ch. 4.5 - Solve: log2(2x+1)log2(x2)=1. (Section 4.4, Example...Ch. 4.5 - Exercises 123-125 will help you prepare for the...Ch. 4.5 - Exercises 123-125 will help you prepare for the...Ch. 4.5 - Exercises 123-125 will help you prepare for the...Ch. 4.6 - Check Point 1 Graph y = 3 tan 2x for Ch. 4.6 - Check Point 2 Graph two full periods of . Ch. 4.6 - Prob. 3CPCh. 4.6 - Prob. 4CPCh. 4.6 - Check Point 5 Graph y = 2 sec 2x for 34x34.Ch. 4.6 - Prob. 1CVCCh. 4.6 - Prob. 2CVCCh. 4.6 - Prob. 3CVCCh. 4.6 - Fill in each blank so that the resulting statement...Ch. 4.6 - Prob. 5CVCCh. 4.6 - Prob. 6CVCCh. 4.6 - Prob. 7CVCCh. 4.6 - Prob. 8CVCCh. 4.6 - In Exercises 1-4. the graph of a tangent function...Ch. 4.6 - In Exercises 1-4, the graph of a tangent function...Ch. 4.6 - In Exercises 1-4, the graph of a tangent function...Ch. 4.6 - In Exercises 1-, the graph of a tangent function...Ch. 4.6 - In Exercises 5-12, graph two periods of the given...Ch. 4.6 - In Exercises 5-12, graph two periods of the given...Ch. 4.6 - In Exercises 5-12, graph two periods of the given...Ch. 4.6 - In Exercises 5-12, graph two periods of the given...Ch. 4.6 - In Exercises 5-12, graph two periods of the given...Ch. 4.6 - In Exercises 5-12, graph two periods of the given...Ch. 4.6 - In Exercises 5-12, graph two periods of the given...Ch. 4.6 - In Exercises 5-12, graph two periods of the given...Ch. 4.6 - In Exercises 13-16, the graph of a cotangent...Ch. 4.6 - In Exercises 13-16, the graph of a cotangent...Ch. 4.6 - In Exercises 13-16, the graph of a cotangent...Ch. 4.6 - In Exercises 13-16, the graph of a cotangent...Ch. 4.6 - In Exercises 17-24, graph two periods of the given...Ch. 4.6 - In Exercises 17-24, graph two periods of the given...Ch. 4.6 - In Exercises 17-24, graph two periods of the given...Ch. 4.6 - In Exercises 17-24, graph two periods of the given...Ch. 4.6 - In Exercises 17-24, graph two periods of the given...Ch. 4.6 - In Exercises 17-24, graph two periods of the given...Ch. 4.6 - In Exercises 17-24, graph two periods of the given...Ch. 4.6 - In Exercises 17-24, graph two periods of the given...Ch. 4.6 - Prob. 25PECh. 4.6 - Prob. 26PECh. 4.6 - Prob. 27PECh. 4.6 - Prob. 28PECh. 4.6 - In Exercises 29-44, graph two periods of the given...Ch. 4.6 - In Exercises 29-44, graph two periods of the given...Ch. 4.6 - In Exercises 29-44, graph two periods of the given...Ch. 4.6 - In Exercises 29-44, graph two periods of the given...Ch. 4.6 - In Exercises 29-44, graph two periods of the given...Ch. 4.6 - In Exercises 29-44, graph two periods of the given...Ch. 4.6 - In Exercises 29-44, graph two periods of the given...Ch. 4.6 - In Exercises 29-44, graph two periods of the given...Ch. 4.6 - In Exercises 29-44, graph two periods of the given...Ch. 4.6 - In Exercises 29-44, graph two periods of the given...Ch. 4.6 - In Exercises 29-44, graph two periods of the given...Ch. 4.6 - In Exercises 29-44, graph two periods of the given...Ch. 4.6 - In Exercises 29-44, graph two periods of the given...Ch. 4.6 - In Exercises 29-44, graph two periods of the given...Ch. 4.6 - In Exercises 29-44, graph two periods of the given...Ch. 4.6 - In Exercises 29-44, graph two periods of the given...Ch. 4.6 - In Exercises 45-52, graph two periods of each...Ch. 4.6 - In Exercises 45-52, graph two periods of each...Ch. 4.6 - In Exercises 45-52, graph two periods of each...Ch. 4.6 - In Exercises 45-52, graph two periods of each...Ch. 4.6 - In Exercises 45-52, graph two periods of each...Ch. 4.6 - In Exercises 45-52, graph two periods of each...Ch. 4.6 - In Exercises 45-52, graph two periods of each...Ch. 4.6 - In Exercises 45-52, graph two periods of each...Ch. 4.6 - In Exercises 53-54, let . 53. Graph two periods...Ch. 4.6 - In Exercises 53-54, let . 54. Graph two periods...Ch. 4.6 - In Exercises 55-58, use a graph to solve each...Ch. 4.6 - In Exercises 55-58, use a graph to solve each...Ch. 4.6 - In Exercises 55-58, use a graph to solve each...Ch. 4.6 - In Exercises 55-58, use a graph to solve each...Ch. 4.6 - 59. An ambulance with a rotating beam of light is...Ch. 4.6 - The angle of elevation from the top of a house to...Ch. 4.6 - Your best friend is marching with a band and has...Ch. 4.6 - In Exercises 62-64, sketch a reasonable graph that...Ch. 4.6 - In Exercises 62-64, sketch a reasonable graph that...Ch. 4.6 - Prob. 64PECh. 4.6 - Without drawing a graph, describe the behavior of...Ch. 4.6 - 66. If you are given the equation of a tangent...Ch. 4.6 - If you are given the equation of a tangent...Ch. 4.6 - Without drawing a graph, describe the behavior of...Ch. 4.6 - 69. If you are given the equation of a cotangent...Ch. 4.6 - Explain how to determine the range of y=cscx from...Ch. 4.6 - Explain how to use a sine curve to obtain a...Ch. 4.6 - Scientists record brain activity by attaching...Ch. 4.6 - Use a graphing utility to verify any two of the...Ch. 4.6 - Prob. 74PECh. 4.6 - Use a graphing utility to verify any two of the...Ch. 4.6 - Use a graphing utility to verify any two of the...Ch. 4.6 - In Exercises 77-82, use a graphing utility to...Ch. 4.6 - In Exercises 77-82, use a graphing utility to...Ch. 4.6 - In Exercises 77-82, use a graphing utility to...Ch. 4.6 - In Exercises 77-82, use a graphing utility to...Ch. 4.6 - In Exercises 77-82, use a graphing utility to...Ch. 4.6 - In Exercises 77-82, use a graphing utility to...Ch. 4.6 - In Exercises 83-86, use a graphing utility to...Ch. 4.6 - In Exercises 83-86, use a graphing utility to...Ch. 4.6 - In Exercises 83-86, use a graphing utility to...Ch. 4.6 - In Exercises 83-86, use a graphing utility to...Ch. 4.6 - 87. Carbon dioxide particles in our atmosphere...Ch. 4.6 - 88. Graph in a [-0.2.0.2,0.011 by [-1.2,1.2.0.01...Ch. 4.6 - Make Sense? In Exercises 89-92, determine whether...Ch. 4.6 - Make Sense? In Exercises 89-92, determine whether...Ch. 4.6 - Make Sense? In Exercises 89-92, determine whether...Ch. 4.6 - Make Sense? In Exercises 89-92, determine whether...Ch. 4.6 - In Exercises 93-94, write an equation for each...Ch. 4.6 - In Exercises 93-94, write an equation for each...Ch. 4.6 - Prob. 95PECh. 4.6 - In Exercises 95-96, write the equation for a...Ch. 4.6 - 97. Determine the range of the following...Ch. 4.6 - For x0, what effect does 2xiny=2xsinx have on the...Ch. 4.6 - 99. Find all zeros of . (Section 2.5, Example 3) Ch. 4.6 - The toll to a bridge costs $8.00. Commuters who...Ch. 4.6 - Write the point-slope form and the slope-intercept...Ch. 4.6 - Exercises 102-104 will help you prepare for the...Ch. 4.6 - Exercises 102-104 will help you prepare for the...Ch. 4.6 - Exercises 102-104 will help you prepare for the...Ch. 4.7 - Check Point 1 Find the exact value of . Ch. 4.7 - Prob. 2CPCh. 4.7 - Prob. 3CPCh. 4.7 - Prob. 4CPCh. 4.7 - Prob. 5CPCh. 4.7 - Prob. 6CPCh. 4.7 - Prob. 7CPCh. 4.7 - Prob. 8CPCh. 4.7 - Prob. 9CPCh. 4.7 - Prob. 1CVCCh. 4.7 - Prob. 2CVCCh. 4.7 - Fill in each blank so that the resulting statement...Ch. 4.7 - Prob. 4CVCCh. 4.7 - Prob. 5CVCCh. 4.7 - Prob. 6CVCCh. 4.7 - Prob. 7CVCCh. 4.7 - Prob. 8CVCCh. 4.7 - Prob. 9CVCCh. 4.7 - Prob. 10CVCCh. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 1-18, find the exact value of each...Ch. 4.7 - In Exercises 19-30, use a calculator to find the...Ch. 4.7 - In Exercises 19-30, use a calculator to find the...Ch. 4.7 - In Exercises 19-30, use a calculator to find the...Ch. 4.7 - In Exercises 19-30, use a calculator to find the...Ch. 4.7 - In Exercises 19-30, use a calculator to find the...Ch. 4.7 - In Exercises 19-30, use a calculator to find the...Ch. 4.7 - In Exercises 19-30, use a calculator to find the...Ch. 4.7 - In Exercises 19-30, use a calculator to find the...Ch. 4.7 - In Exercises 19-30, use a calculator to find the...Ch. 4.7 - In Exercises 19-30, use a calculator to find the...Ch. 4.7 - In Exercises 19-30, use a calculator to find the...Ch. 4.7 - In Exercises 19-30, use a calculator to find the...Ch. 4.7 - In Exercises 31-46, find the exact value of each...Ch. 4.7 - In Exercises 31-46, find the exact value of each...Ch. 4.7 - In Exercises 31-46, find the exact value of each...Ch. 4.7 - In Exercises 31-46, find the exact value of each...Ch. 4.7 - In Exercises 31-46, find the exact value of each...Ch. 4.7 - In Exercises 31-46, find the exact value of each...Ch. 4.7 - In Exercises 31-46, find the exact value of each...Ch. 4.7 - In Exercises 31-46, find the exact value of each...Ch. 4.7 - In Exercises 31-46, find the exact value of each...Ch. 4.7 - In Exercises 31-46, find the exact value of each...Ch. 4.7 - In Exercises 31-46, find the exact value of each...Ch. 4.7 - In Exercises 31-46, find the exact value of each...Ch. 4.7 - In Exercises 31-46, find the exact value of each...Ch. 4.7 - In Exercises 31-46, find the exact value of each...Ch. 4.7 - In Exercises 31-46, find the exact value of each...Ch. 4.7 - In Exercises 31-46, find the exact value of each...Ch. 4.7 - In Exercises 47-62, use a sketch to find the exact...Ch. 4.7 - In Exercises 47-62, use a sketch to find the exact...Ch. 4.7 - In Exercises 47-62, use a sketch to find the exact...Ch. 4.7 - In Exercises 47-62, use a sketch to find the exact...Ch. 4.7 - In Exercises 47-62, use a sketch to find the exact...Ch. 4.7 - In Exercises 47-62, use a sketch to find the exact...Ch. 4.7 - In Exercises 47-62, use a sketch to find the exact...Ch. 4.7 - In Exercises 47-62, use a sketch to find the exact...Ch. 4.7 - In Exercises 47-62, use a sketch to find the exact...Ch. 4.7 - In Exercises 47-62, use a sketch to find the exact...Ch. 4.7 - In Exercises 47-62, use a sketch to find the exact...Ch. 4.7 - In Exercises 47-62, use a sketch to find the exact...Ch. 4.7 - In Exercises 47-62, use a sketch to find the exact...Ch. 4.7 - In Exercises 47-62, use a sketch to find the exact...Ch. 4.7 - In Exercises 47-62, use a sketch to find the exact...Ch. 4.7 - In Exercises 47-62, use a sketch to find the exact...Ch. 4.7 - In Exercises 63-72, use a right triangle to write...Ch. 4.7 - In Exercises 63-72, use a right triangle to write...Ch. 4.7 - In Exercises 63-72, use a right triangle to write...Ch. 4.7 - In Exercises 63-72, use a right triangle to write...Ch. 4.7 - In Exercises 63-72, use a right triangle to write...Ch. 4.7 - In Exercises 63-72, use a right triangle to write...Ch. 4.7 - In Exercises 63-72, use a right triangle to write...Ch. 4.7 - In Exercises 63-72, use a right triangle to write...Ch. 4.7 - In Exercises 63-72, use a right triangle to write...Ch. 4.7 - In Exercises 63-72, use a right triangle to write...Ch. 4.7 - a. Graph the restricted secant function, y=secx,...Ch. 4.7 - 74. a. Graph the restricted cotangent function, ,...Ch. 4.7 - The graphs of , and are shown in Table 5.10 on...Ch. 4.7 - The graphs of , and are shown in Table 5.10 on...Ch. 4.7 - The graphs of y=sin1x,y=cos1x, and y=tan1x are...Ch. 4.7 - The graphs of y=sin1x,y=cos1x, and y=tan1x are...Ch. 4.7 - The graphs of , and are shown in Table 5.10 on...Ch. 4.7 - The graphs of , and are shown in Table 5.10 on...Ch. 4.7 - The graphs of y=sin1x,y=cos1x, and y=tan1x are...Ch. 4.7 - The graphs of , and are shown in Table 5.10 on...Ch. 4.7 - The graphs of . and are shown in Table 5.10 on...Ch. 4.7 - The graphs of , and are shown in Table 5.10 on...Ch. 4.7 - In Exercises 85-92, determine the domain and the...Ch. 4.7 - In Exercises 85-92, determine the domain and the...Ch. 4.7 - In Exercises 85-92, determine the domain and the...Ch. 4.7 - In Exercises 85-92, determine the domain and the...Ch. 4.7 - In Exercises 85-92, determine the domain and the...Ch. 4.7 - In Exercises 85-92, determine the domain and the...Ch. 4.7 - In Exercises 85-92, determine the domain and the...Ch. 4.7 - In Exercises 85-92, determine the domain and the...Ch. 4.7 - Your neighborhood movie theater has a 25-foot-high...Ch. 4.7 - The function =tan133xtan18x, described in Exercise...Ch. 4.7 - gives the viewing angle, , in radians, for a...Ch. 4.7 - gives the viewing angle, , in radians, for a...Ch. 4.7 - For years, mathematicians were challenged by the...Ch. 4.7 - For years, mathematicians were challenged by the...Ch. 4.7 - Explain why. without restrictions, no...Ch. 4.7 - 100. Describe the restriction on the sine function...Ch. 4.7 - 101. How can the graph of be obtained from the...Ch. 4.7 - Without drawing a graph, describe the behavior of...Ch. 4.7 - 103. Describe the restriction on the cosine...Ch. 4.7 - Without drawing a graph, describe the behavior of...Ch. 4.7 - 105. Describe the restriction on the tangent...Ch. 4.7 - Without drawing a graph, describe the behavior of...Ch. 4.7 - 107. If Explain your answer. Ch. 4.7 - Explain how a right triangle can be used to find...Ch. 4.7 - 109. Find the height of the screen and the number...Ch. 4.7 - In Exercises 110-113, graph each pair of functions...Ch. 4.7 - In Exercises 110-113, graph each pair of functions...Ch. 4.7 - In Exercises 110-113, graph each pair of functions...Ch. 4.7 - In Exercises 110-113, graph each pair of functions...Ch. 4.7 - Graph y=tan1x and its two horizontal asymptotes in...Ch. 4.7 - Graph y=sin1x+cos1x in a [-2, 2, 1] by [0, 3, 1]...Ch. 4.7 - Make Sense? In Exercises 116-119, determine...Ch. 4.7 - Make Sense? In Exercises 116-119, determine...Ch. 4.7 - Make Sense? In Exercises 116-119, determine...Ch. 4.7 - Make Sense? In Exercises 116-119, determine...Ch. 4.7 - 120. Solve for x in terms of y. Ch. 4.7 - Solve for x:2sin1x=4.Ch. 4.7 - Prove that if x0,tan1x+tan11x=2Ch. 4.7 - 123. Derive the formula for , your viewing angle...Ch. 4.7 - 124. Expand: . (Section 4.3, Example 4) Ch. 4.7 - Write as a single logarithm:...Ch. 4.7 - Graph: f(x)=5x+1x1. (Section 3.5. Example 5)Ch. 4.7 - Prob. 127PECh. 4.7 - Prob. 128PECh. 4.7 - Exercises 127-129 will help you prepare for the...Ch. 4.8 - Check Point 1 In Figure 4.100 on the previous...Ch. 4.8 - Check Point 2 From a point on level ground 80 feet...Ch. 4.8 - Check Point 3 A guy wire is 13.8 yards long and is...Ch. 4.8 - Check Point 4 You are standing on level ground 800...Ch. 4.8 - Prob. 5CPCh. 4.8 - Prob. 6CPCh. 4.8 - Check Point 7 A ball on a spring is pulled 6...Ch. 4.8 - Check Point 8 An object moves in simple harmonic...Ch. 4.8 - Prob. 1CVCCh. 4.8 - Prob. 2CVCCh. 4.8 - Prob. 3CVCCh. 4.8 - Prob. 1PECh. 4.8 - In Exercises 1-12, solve the right triangle shown...Ch. 4.8 - Prob. 3PECh. 4.8 - Prob. 4PECh. 4.8 - Prob. 5PECh. 4.8 - Prob. 6PECh. 4.8 - Prob. 7PECh. 4.8 - Prob. 8PECh. 4.8 - Prob. 9PECh. 4.8 - In Exercises 1-12, solve the right triangle shown...Ch. 4.8 - Prob. 11PECh. 4.8 - Prob. 12PECh. 4.8 - Prob. 13PECh. 4.8 - Prob. 14PECh. 4.8 - Prob. 15PECh. 4.8 - Prob. 16PECh. 4.8 - Prob. 17PECh. 4.8 - In Exercises 17-20, an object is attached to a...Ch. 4.8 - Prob. 19PECh. 4.8 - Prob. 20PECh. 4.8 - Prob. 21PECh. 4.8 - Prob. 22PECh. 4.8 - Prob. 23PECh. 4.8 - In Exercises 21-28, an object moves in simple...Ch. 4.8 - Prob. 25PECh. 4.8 - Prob. 26PECh. 4.8 - Prob. 27PECh. 4.8 - Prob. 28PECh. 4.8 - Prob. 29PECh. 4.8 - Prob. 30PECh. 4.8 - Prob. 31PECh. 4.8 - Prob. 32PECh. 4.8 - Prob. 33PECh. 4.8 - Prob. 34PECh. 4.8 - Prob. 35PECh. 4.8 - In Exercises 29-36, find the length x to the...Ch. 4.8 - Prob. 37PECh. 4.8 - In Exercises 37-40, an object moves in simple...Ch. 4.8 - Prob. 39PECh. 4.8 - Prob. 40PECh. 4.8 - Prob. 41PECh. 4.8 - Prob. 42PECh. 4.8 - Prob. 43PECh. 4.8 - Prob. 44PECh. 4.8 - A helicopter hovers 1000 feet above a small...Ch. 4.8 - Prob. 46PECh. 4.8 - Prob. 47PECh. 4.8 - Prob. 48PECh. 4.8 - 49. A hot-air balloon is rising vertically. From a...Ch. 4.8 - A flagpole is situated on top of a building. The...Ch. 4.8 - Prob. 51PECh. 4.8 - A boat leaves the entrance to a harbor and travels...Ch. 4.8 - A forest ranger sights a fire directly to the...Ch. 4.8 - A ship sights a lighthouse directly to the south....Ch. 4.8 - Prob. 55PECh. 4.8 - Prob. 56PECh. 4.8 - Prob. 57PECh. 4.8 - Prob. 58PECh. 4.8 - Prob. 59PECh. 4.8 - Prob. 60PECh. 4.8 - Prob. 61PECh. 4.8 - Prob. 62PECh. 4.8 - Prob. 63PECh. 4.8 - Prob. 64PECh. 4.8 - Describe a situation in which a right triangle and...Ch. 4.8 - What is meant by the bearing from point O to point...Ch. 4.8 - 67. What is simple harmonic motion? Give an...Ch. 4.8 - Prob. 68PECh. 4.8 - Prob. 69PECh. 4.8 - Prob. 70PECh. 4.8 - Prob. 71PECh. 4.8 - Prob. 72PECh. 4.8 - Prob. 73PECh. 4.8 - Prob. 74PECh. 4.8 - Prob. 75PECh. 4.8 - Prob. 76PECh. 4.8 - The angle of elevation to the top of a building...Ch. 4.8 - Prob. 78PECh. 4.8 - Prob. 79PECh. 4.8 - Prob. 80PECh. 4.8 - Prob. 81PECh. 4.8 - Prob. 82PECh. 4.8 - Prob. 83PECh. 4.8 - Prob. 84PECh. 4 - Find the radian measure of the central angle of a...Ch. 4 - In Exercises 2-4, convert each angle in degrees to...Ch. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - In Exercises 13-17, find a positive angle less...Ch. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - The angular speed of a propeller on a wind...Ch. 4 - 20. The propeller of an airplane has a radius of 3...Ch. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - 27. If , use identities to find the remaining...Ch. 4 - Prob. 28RECh. 4 - In Exercises 28-30 evaluate each expression...Ch. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - 33. A hiker climbs for a half mile up a slope...Ch. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - Prob. 53RECh. 4 - Prob. 54RECh. 4 - Prob. 55RECh. 4 - Prob. 56RECh. 4 - Prob. 57RECh. 4 - Prob. 58RECh. 4 - Prob. 59RECh. 4 - Prob. 60RECh. 4 - Prob. 61RECh. 4 - Prob. 62RECh. 4 - Prob. 63RECh. 4 - Prob. 64RECh. 4 - Prob. 65RECh. 4 - Prob. 66RECh. 4 - Prob. 67RECh. 4 - Prob. 68RECh. 4 - Prob. 69RECh. 4 - Prob. 70RECh. 4 - Prob. 71RECh. 4 - Prob. 72RECh. 4 - Prob. 73RECh. 4 - Prob. 74RECh. 4 - Prob. 75RECh. 4 - Prob. 76RECh. 4 - Prob. 77RECh. 4 - Prob. 78RECh. 4 - Prob. 79RECh. 4 - Prob. 80RECh. 4 - 72. The function models variation in body...Ch. 4 - Prob. 82RECh. 4 - Prob. 83RECh. 4 - Prob. 84RECh. 4 - Prob. 85RECh. 4 - Prob. 86RECh. 4 - Prob. 87RECh. 4 - Prob. 88RECh. 4 - Prob. 89RECh. 4 - Prob. 90RECh. 4 - Prob. 91RECh. 4 - Prob. 92RECh. 4 - Prob. 93RECh. 4 - Prob. 94RECh. 4 - Prob. 95RECh. 4 - Prob. 96RECh. 4 - Prob. 97RECh. 4 - Prob. 98RECh. 4 - Prob. 99RECh. 4 - Prob. 100RECh. 4 - Prob. 101RECh. 4 - Prob. 102RECh. 4 - Prob. 103RECh. 4 - Prob. 104RECh. 4 - Prob. 105RECh. 4 - Prob. 106RECh. 4 - Prob. 107RECh. 4 - Prob. 108RECh. 4 - Prob. 109RECh. 4 - Prob. 110RECh. 4 - Prob. 111RECh. 4 - Prob. 112RECh. 4 - Prob. 113RECh. 4 - Prob. 114RECh. 4 - Prob. 115RECh. 4 - Prob. 116RECh. 4 - Prob. 117RECh. 4 - Prob. 118RECh. 4 - Prob. 119RECh. 4 - Prob. 120RECh. 4 - Prob. 121RECh. 4 - Prob. 122RECh. 4 - Prob. 123RECh. 4 - Prob. 124RECh. 4 - From city A to city B, a plane flies 850 miles at...Ch. 4 - Prob. 126RECh. 4 - Prob. 127RECh. 4 - Prob. 128RECh. 4 - In Exercises 119-120, an object is attached to a...Ch. 4 - Prob. 1TCh. 4 - Prob. 2TCh. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - Prob. 7TCh. 4 - Prob. 8TCh. 4 - Prob. 9TCh. 4 - Prob. 10TCh. 4 - Prob. 11TCh. 4 - Prob. 12TCh. 4 - Prob. 13TCh. 4 - Prob. 14TCh. 4 - Prob. 15TCh. 4 - Prob. 16TCh. 4 - Prob. 17TCh. 4 - Prob. 18TCh. 4 - Prob. 19TCh. 4 - Prob. 20TCh. 4 - Prob. 21TCh. 4 - 22. A 73-foot rope from the top of a circus tent...Ch. 4 - Prob. 23TCh. 4 - Prob. 24TCh. 4 - Prob. 25TCh. 4 - Prob. 1CRECh. 4 - Prob. 2CRECh. 4 - Prob. 3CRECh. 4 - Prob. 4CRECh. 4 - Prob. 5CRECh. 4 - Prob. 6CRECh. 4 - Prob. 7CRECh. 4 - Prob. 8CRECh. 4 - Prob. 9CRECh. 4 - Prob. 10CRECh. 4 - Prob. 11CRECh. 4 - Prob. 12CRECh. 4 - Prob. 13CRECh. 4 - Prob. 14CRECh. 4 - Prob. 15CRECh. 4 - Prob. 16CRECh. 4 - Prob. 17CRECh. 4 - Prob. 18CRECh. 4 - Prob. 19CRECh. 4 - Prob. 20CRE
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