Precalculus
Precalculus
17th Edition
ISBN: 9780078035609
Author: Miller, Julie, Gerken, Donna.
Publisher: Mcgraw-hill Education,
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Fundamentals of Trigonometric Identities
Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.
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Chapter 4.2, Problem 52PE

For Exercises 49-54, use an appropriate Pythagorean identity to find the indicated value. (See Example 5)

Given csc t = − 41 40 for 3 π 2 < t < 2 π , find the value of cot t .

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Chapter 4 Solutions

Precalculus

Ch. 4.1 - Convert 1311233 to decimal degrees. Round to 4...Ch. 4.1 - Convert 26.48 to degree, minute, second form.Ch. 4.1 - Convert from degrees to radians. a. 300 b. 70Ch. 4.1 - Convert from radians to degrees. a. 18 b. 74Ch. 4.1 - Find an angle coterminal to between 0 and 360 ....Ch. 4.1 - Find an angle coterminal to on the interval [0,2)...Ch. 4.1 - Find the length of the arc made by an angle of 220...Ch. 4.1 - Lincoln, Nebraska, is located at 40.8N,96.7W and...Ch. 4.1 - A bicycle wheel rotates at 2 revolutions per...Ch. 4.1 - A sprinkler rotates through an angle of 120 and...
Ch. 4.1 - Prob. 1PECh. 4.1 - An angle with its vertex at the origin of an...Ch. 4.1 - Two common units used to measure angles are and .Ch. 4.1 - One degree is what fractional amount of a full...Ch. 4.1 - An angle that measures 360 has a measure of ...Ch. 4.1 - Two angles are called if the sum of their...Ch. 4.1 - An angle with measure or radians is a right...Ch. 4.1 - A(n) angle has a measure between 0 and 90 ....Ch. 4.1 - One degree is equally divided into 60 parts called...Ch. 4.1 - One minute is equally divided into 60 parts called...Ch. 4.1 - 1='='Ch. 4.1 - An angle with its vertex at the center of a circle...Ch. 4.1 - A central angle of a circle that intercepts an arc...Ch. 4.1 - Which angle has a greater measure, 2 or 2 radians?Ch. 4.1 - To convert from radians to degrees, multiply by ...Ch. 4.1 - Two angles are if they have the same initial side...Ch. 4.1 - The measure of all angles coterminal to 74 differ...Ch. 4.1 - The measure of all angles coterminal to 112 differ...Ch. 4.1 - The length s of an arc made by an angle on a...Ch. 4.1 - To locate points on the surface of the Earth that...Ch. 4.1 - The relationship v=arclengthtime represents the ...Ch. 4.1 - The symbol is typically used to denote speed and...Ch. 4.1 - A wedge of a circle, similar in shape to a slice...Ch. 4.1 - The area A of a sector of a circle of radius r...Ch. 4.1 - For Exercises 25-26, sketch the angles in standard...Ch. 4.1 - For Exercises 25-26, sketch the angles in standard...Ch. 4.1 - For Exercises 27-30, convert the given angle to...Ch. 4.1 - For Exercises 27-30, convert the given angle to...Ch. 4.1 - For Exercises 27-30, convert the given angle to...Ch. 4.1 - For Exercises 27-30, convert the given angle to...Ch. 4.1 - For Exercises 31-34, convert the given angle to...Ch. 4.1 - For Exercises 31-34, convert the given angle to...Ch. 4.1 - For Exercises 31-34, convert the given angle to...Ch. 4.1 - For Exercises 31-34, convert the given angle to...Ch. 4.1 - Prob. 35PECh. 4.1 - Prob. 36PECh. 4.1 - For Exercises 37-40, convert from degrees to...Ch. 4.1 - Prob. 38PECh. 4.1 - Prob. 39PECh. 4.1 - For Exercises 37-40, convert from degrees to...Ch. 4.1 - Prob. 41PECh. 4.1 - Prob. 42PECh. 4.1 - For Exercises 41-44, convert from degrees to...Ch. 4.1 - For Exercises 41-44, convert from degrees to...Ch. 4.1 - For Exercises 45-56, convert from radians to...Ch. 4.1 - For Exercises 45-56, convert from radians to...Ch. 4.1 - Prob. 47PECh. 4.1 - For Exercises 45-56, convert from radians to...Ch. 4.1 - Prob. 49PECh. 4.1 - Prob. 50PECh. 4.1 - For Exercises 45-56, convert from radians to...Ch. 4.1 - Prob. 52PECh. 4.1 - Prob. 53PECh. 4.1 - For Exercises 45-56, convert from radians to...Ch. 4.1 - For Exercises 45-56, convert from radians to...Ch. 4.1 - For Exercises 45-56, convert from radians to...Ch. 4.1 - Prob. 57PECh. 4.1 - For Exercises 57-64, find a positive angle and a...Ch. 4.1 - For Exercises 57-64, find a positive angle and a...Ch. 4.1 - For Exercises 57-64, find a positive angle and a...Ch. 4.1 - For Exercises 57-64, find a positive angle and a...Ch. 4.1 - For Exercises 57-64, find a positive angle and a...Ch. 4.1 - Prob. 63PECh. 4.1 - For Exercises 57-64, find a positive angle and a...Ch. 4.1 - For Exercises 65-70, find an angle between 0 and...Ch. 4.1 - For Exercises 65-70, find an angle between 0 and...Ch. 4.1 - For Exercises 65-70, find an angle between 0 and...Ch. 4.1 - For Exercises 65-70, find an angle between 0 and...Ch. 4.1 - For Exercises 65-70, find an angle between 0 and...Ch. 4.1 - For Exercises 65-70, find an angle between 0 and...Ch. 4.1 - Prob. 71PECh. 4.1 - For Exercises 71-74, find the exact length of the...Ch. 4.1 - Prob. 73PECh. 4.1 - For Exercises 71-74, find the exact length of the...Ch. 4.1 - A 6-ft pendulum swings through an angle of 4036 ....Ch. 4.1 - A gear with a 1.2-cm radius moves through an angle...Ch. 4.1 - a. What is the geographical relationship between...Ch. 4.1 - For Exercises 79-82, assume that the Earth is...Ch. 4.1 - For Exercises 79-82, assume that the Earth is...Ch. 4.1 - For Exercises 79-82, assume that the Earth is...Ch. 4.1 - For Exercises 79-82, assume that the Earth is...Ch. 4.1 - A pulley is 16cm in diameter. a. Find the distance...Ch. 4.1 - A pulley is 1.2ft. in diameter. a. Find the...Ch. 4.1 - A hoist is used to lift a palette of bricks. The...Ch. 4.1 - A winch on a sailboat is 8in. in diameter and is...Ch. 4.1 - A surveyor uses a subtense bar to find the...Ch. 4.1 - A surveyor uses a subtense bar to find the...Ch. 4.1 - A circular paddle wheel of radius 3ft is lowered...Ch. 4.1 - An energy-efficient hard drive has a 2.5-in ....Ch. 4.1 - A 714-in.-diameter circular saw has 24 teeth and...Ch. 4.1 - On a weed-cutting device, a thick nylon line...Ch. 4.1 - A truck has 2.5-ft tires (in diameter). a. What...Ch. 4.1 - A bicycle has 25-in . wheels (in diameter). a....Ch. 4.1 - Prob. 95PECh. 4.1 - For Exercises 95-98, find the exact area of the...Ch. 4.1 - Prob. 97PECh. 4.1 - For Exercises 95-98, find the exact area of the...Ch. 4.1 - A slice of a circular pizza 12in .in diameter is...Ch. 4.1 - A circular cheesecake 9in. in diameter is cut into...Ch. 4.1 - The back wiper blade on an SUV extends 3in. from...Ch. 4.1 - A robotic arm rotates through an angle of 160 . It...Ch. 4.1 - Prob. 103PECh. 4.1 - Prob. 104PECh. 4.1 - Prob. 105PECh. 4.1 - Prob. 106PECh. 4.1 - Prob. 107PECh. 4.1 - Prob. 108PECh. 4.1 - The second hand of a clock moves from 12:10 to...Ch. 4.1 - The minute hand of a clock moves from 12:10 to...Ch. 4.1 - The Earth's orbit around the Sun is elliptical...Ch. 4.1 - The Earth completes one full rotation around its...Ch. 4.1 - Two gears are calibrated so that the smaller gear...Ch. 4.1 - Two gears are calibrated so that the larger gear...Ch. 4.1 - A spinning-disc confocal microscope contains a...Ch. 4.1 - For Exercises 116-119, approximate the area of the...Ch. 4.1 - For Exercises 116-119, approximate the area of the...Ch. 4.1 - For Exercises 116-119, approximate the area of the...Ch. 4.1 - For Exercises 116-119, approximate the area of the...Ch. 4.1 - Explain what is meant by 1 radian. Explain what is...Ch. 4.1 - For an angle drawn in standard position, explain...Ch. 4.1 - As the fan rotates (see figure), which point A or...Ch. 4.1 - If an angle of a sector is held constant, but the...Ch. 4.1 - If an angle of a sector is doubled, but the radius...Ch. 4.1 - When a person pedals a bicycle, the front sprocket...Ch. 4.1 - In the third century B.C. , the Greek astronomer...Ch. 4.1 - The space shuttle program involved 135 manned...Ch. 4.1 - Prob. 128PECh. 4.1 - Prob. 129PECh. 4.1 - Prob. 130PECh. 4.1 - Prob. 131PECh. 4.1 - Prob. 132PECh. 4.1 - Prob. 133PECh. 4.1 - Prob. 134PECh. 4.2 - Suppose that the real number t corresponds to the...Ch. 4.2 - Prob. 2SPCh. 4.2 - Prob. 3SPCh. 4.2 - Given sint=37 and cost=2107 use the reciprocal and...Ch. 4.2 - Prob. 5SPCh. 4.2 - Prob. 6SPCh. 4.2 - Prob. 7SPCh. 4.2 - Use the properties of the trigonometric functions...Ch. 4.2 - Use a calculator to approximate the function...Ch. 4.2 - The graph of x2+y2=1 is known as the circle. It...Ch. 4.2 - The circumference of the unit circle is . Thus,...Ch. 4.2 - Prob. 3PECh. 4.2 - Prob. 4PECh. 4.2 - Prob. 5PECh. 4.2 - The domain of the trigonometric functions and is...Ch. 4.2 - Prob. 7PECh. 4.2 - Prob. 8PECh. 4.2 - The period of the tangent and cotangent functions...Ch. 4.2 - The cosine function is an function because...Ch. 4.2 - For Exercises 11-14, determine if the point lies...Ch. 4.2 - Prob. 12PECh. 4.2 - Prob. 13PECh. 4.2 - For Exercises 11-14, determine if the point lies...Ch. 4.2 - For Exercises 15-18, the real number t corresponds...Ch. 4.2 - For Exercises 15-18, the real number t corresponds...Ch. 4.2 - Prob. 17PECh. 4.2 - Prob. 18PECh. 4.2 - Prob. 19PECh. 4.2 - Prob. 20PECh. 4.2 - For Exercises 20-23, identify the coordinates of...Ch. 4.2 - For Exercises 20-23, identify the coordinates of...Ch. 4.2 - Prob. 23PECh. 4.2 - For Exercises 24-26, identify the ordered pairs on...Ch. 4.2 - Prob. 25PECh. 4.2 - For Exercises 24-26, identify the ordered pairs on...Ch. 4.2 - For Exercises 27-32, evaluate the trigonometric...Ch. 4.2 - For Exercises 27-32, evaluate the trigonometric...Ch. 4.2 - For Exercises 27-32, evaluate the trigonometric...Ch. 4.2 - For Exercises 27-32, evaluate the trigonometric...Ch. 4.2 - For Exercises 27-32, evaluate the trigonometric...Ch. 4.2 - For Exercises 27-32, evaluate the trigonometric...Ch. 4.2 - For Exercises 33-38, select the domain of the...Ch. 4.2 - Prob. 34PECh. 4.2 - For Exercises 33-38, select the domain of the...Ch. 4.2 - For Exercises 33-38, select the domain of the...Ch. 4.2 - Prob. 37PECh. 4.2 - Prob. 38PECh. 4.2 - For Exercises 39-42, evaluate the function if...Ch. 4.2 - For Exercises 39-42, evaluate the function if...Ch. 4.2 - For Exercises 39-42, evaluate the function if...Ch. 4.2 - For Exercises 39-42, evaluate the function if...Ch. 4.2 - For Exercises 43-46, given the values for sint and...Ch. 4.2 - For Exercises 43-46, given the values for sint and...Ch. 4.2 - Prob. 45PECh. 4.2 - For Exercises 43-46, given the values for sint and...Ch. 4.2 - For Exercises 47-48, derive the given identity...Ch. 4.2 - Prob. 48PECh. 4.2 - For Exercises 49-54, use an appropriate...Ch. 4.2 - For Exercises 49-54, use an appropriate...Ch. 4.2 - For Exercises 49-54, use an appropriate...Ch. 4.2 - For Exercises 49-54, use an appropriate...Ch. 4.2 - Prob. 53PECh. 4.2 - Prob. 54PECh. 4.2 - Write sin t in terms of cos t for a. t in Quadrant...Ch. 4.2 - Prob. 56PECh. 4.2 - Write cott in terms of csct for a. t in Quadrant...Ch. 4.2 - Write cost in terms of sint for a. t in Quadrant...Ch. 4.2 - Given that cos2912=624 determine the value of...Ch. 4.2 - Given that sec1112=26 , determine the value of...Ch. 4.2 - Prob. 61PECh. 4.2 - Given that sin10=514 , determine the value of...Ch. 4.2 - For Exercises 63-66, use the periodic properties...Ch. 4.2 - For Exercises 63-66, use the periodic properties...Ch. 4.2 - Prob. 65PECh. 4.2 - Prob. 66PECh. 4.2 - For Exercises 67-74, use the even-odd and periodic...Ch. 4.2 - Prob. 68PECh. 4.2 - For Exercises 67-74, use the even-odd and periodic...Ch. 4.2 - For Exercises 67-74, use the even odd and periodic...Ch. 4.2 - Prob. 71PECh. 4.2 - For Exercises 67-74, use the even-odd and periodic...Ch. 4.2 - For Exercises 67-74, use the even-odd and periodic...Ch. 4.2 - For Exercises 67-74, use the even-odd and periodic...Ch. 4.2 - Use a calculator to approximate the function...Ch. 4.2 - Use a calculator to approximate the function...Ch. 4.2 - Use a calculator to approximate the function...Ch. 4.2 - Use a calculator to approximate the function...Ch. 4.2 - For Exercises 79-80 evaluate sint, cost, and tant...Ch. 4.2 - Prob. 80PECh. 4.2 - Prob. 81PECh. 4.2 - For Exercises 81-86, identify the values of t on...Ch. 4.2 - For Exercises 81-86, identify the values of t on...Ch. 4.2 - Prob. 84PECh. 4.2 - For Exercises 81-86, identify the values of t on...Ch. 4.2 - For Exercises 81-86, identify the values of t on...Ch. 4.2 - For Exercises 87-92, select all properties that...Ch. 4.2 - For Exercises 87-92, select all properties that...Ch. 4.2 - For Exercises 87-92, select all properties that...Ch. 4.2 - For Exercises 87-92, select all properties that...Ch. 4.2 - For Exercises 87-92, select all properties that...Ch. 4.2 - For Exercises 87-92, select all properties that...Ch. 4.2 - Prob. 93PECh. 4.2 - Prob. 94PECh. 4.2 - Prob. 95PECh. 4.2 - For exercises 93-98, simplify using properties of...Ch. 4.2 - Prob. 97PECh. 4.2 - For exercises 93-98, simplify using properties of...Ch. 4.2 - Prob. 99PECh. 4.2 - The fluctuating brightness of a distant star is...Ch. 4.2 - Prob. 101PECh. 4.2 - For exercises 101-104, identify each function as...Ch. 4.2 - Prob. 103PECh. 4.2 - For exercises 101-104, identify each function as...Ch. 4.2 - Describe the changes in sint and cost as t...Ch. 4.2 - Prob. 106PECh. 4.2 - Explain why 1cost1 and 1sint1 for all real numbers...Ch. 4.2 - Prob. 108PECh. 4.2 - For Exercises 109-114, use the figure to estimate...Ch. 4.2 - Prob. 110PECh. 4.2 - Prob. 111PECh. 4.2 - For Exercises 109-114, use the figure to estimate...Ch. 4.2 - Prob. 113PECh. 4.2 - Prob. 114PECh. 4.2 - For Exercises 115-120, use the figure from...Ch. 4.2 - Prob. 116PECh. 4.2 - Prob. 117PECh. 4.2 - For Exercises 115-120, use the figure from...Ch. 4.2 - Prob. 119PECh. 4.2 - Prob. 120PECh. 4.2 - Prob. 121PECh. 4.2 - Prove that the period of ft=cost is 2 .Ch. 4.2 - Prob. 123PECh. 4.2 - Consider the expression 1cost1 a. What is the...Ch. 4.3 - Prob. 1SPCh. 4.3 - Prob. 2SPCh. 4.3 - Prob. 3SPCh. 4.3 - Evaluate sin30 , cos30 , and tan30 .Ch. 4.3 - Simplify the expressions. a. cot60cot30 b....Ch. 4.3 - For each function value, find a cofunction with...Ch. 4.3 - Suppose that a farm worker determines that the...Ch. 4.3 - If a 15-ft ladder is leaning against a wall at an...Ch. 4.3 - In a right triangle with an acute angle the...Ch. 4.3 - The leg of a right triangle that lies on one ray...Ch. 4.3 - The mnemonic device "SOH-CAH-TOA" stands for the...Ch. 4.3 - Complete the reciprocal and quotient identities,...Ch. 4.3 - Given the lengths of two sides of a right...Ch. 4.3 - An right triangle is a right triangle in which...Ch. 4.3 - The length of the shorter leg of a 306090 triangle...Ch. 4.3 - For the six trigonometric functions...Ch. 4.3 - tan is the of sin and cos .Ch. 4.3 - Complete the Pythagorean identities....Ch. 4.3 - The two acute angles in a right triangle are...Ch. 4.3 - The sine of angle equals the cosine of . For this...Ch. 4.3 - For Exercises 13-14, find the exact values of the...Ch. 4.3 - For Exercises 13-14, find the exact values of the...Ch. 4.3 - For Exercises 15-18, first use the Pythagorean...Ch. 4.3 - For Exercises 15-18, first use the Pythagorean...Ch. 4.3 - Prob. 17PECh. 4.3 - For Exercises 15-18, first use the Pythagorean...Ch. 4.3 - For Exercises 19-22, first use the Pythagorean...Ch. 4.3 - For Exercises 19-22, first use the Pythagorean...Ch. 4.3 - Prob. 21PECh. 4.3 - Prob. 22PECh. 4.3 - In Exercises 23-24, given the value of one...Ch. 4.3 - In Exercises 23-24, given the value of one...Ch. 4.3 - For Exercises 25-30, assume that is an acute...Ch. 4.3 - For Exercises 25-30, assume that is an acute...Ch. 4.3 - Prob. 27PECh. 4.3 - For Exercises 25-30, assume that is an acute...Ch. 4.3 - Prob. 29PECh. 4.3 - For Exercises 25-30, assume that is an acute...Ch. 4.3 - Prob. 31PECh. 4.3 - a. Evaluate sin60 . b. Evaluate sin30+sin30 . c....Ch. 4.3 - For Exercises 33-38, find the exact value of each...Ch. 4.3 - For Exercises 33-38, find the exact value of each...Ch. 4.3 - Prob. 35PECh. 4.3 - For Exercises 33-38, find the exact value of each...Ch. 4.3 - For Exercises 33-38, find the exact value of each...Ch. 4.3 - For Exercises 33-38, find the exact value of each...Ch. 4.3 - Prob. 39PECh. 4.3 - Prob. 40PECh. 4.3 - For Exercises 39-44, determine whether the...Ch. 4.3 - Prob. 42PECh. 4.3 - Prob. 43PECh. 4.3 - For Exercises 39-44, determine whether the...Ch. 4.3 - For Exercises 45-50, given the function value,...Ch. 4.3 - For Exercises 45-50, given the function value,...Ch. 4.3 - Prob. 47PECh. 4.3 - For Exercises 45-50, given the function value,...Ch. 4.3 - For Exercises 45-50, given the function value,...Ch. 4.3 - For Exercises 45-50, given the function value,...Ch. 4.3 - For Exercises 51-54, use a calculator to...Ch. 4.3 - For Exercises 51-54, use a calculator to...Ch. 4.3 - For Exercises 51-54, use a calculator to...Ch. 4.3 - For Exercises 51-54, use a calculator to...Ch. 4.3 - An observer at the top of a 426-ft cliff measures...Ch. 4.3 - A lamppost casts a shadow of 18ft when the angle...Ch. 4.3 - A 30-ft boat ramp makes a 7 angle with the water....Ch. 4.3 - Prob. 58PECh. 4.3 - The Lookout Mountain Incline Railway, located in...Ch. 4.3 - A 12-ft ladder learning against a house makes a 64...Ch. 4.3 - According to National Football League (NFL) rules,...Ch. 4.3 - A zip line is to be built between two towers...Ch. 4.3 - To determine the width of a river from point A to...Ch. 4.3 - For Exercises 64-68, use the fundamental...Ch. 4.3 - For Exercises 64-68, use the fundamental...Ch. 4.3 - For Exercises 64-68, use the fundamental...Ch. 4.3 - For Exercises 64-68, use the fundamental...Ch. 4.3 - Prob. 68PECh. 4.3 - Prob. 69PECh. 4.3 - An airplane traveling 400 mph at a cruising...Ch. 4.3 - A scientist standing at the top of a mountain 2mi...Ch. 4.3 - Prob. 72PECh. 4.3 - Find the exact lengths x,y , and z .Ch. 4.3 - Use the figure to explain why tan=cot90 .Ch. 4.3 - Prob. 75PECh. 4.3 - An athlete is in a boat at point A, 14mi from the...Ch. 4.3 - Prob. 77PECh. 4.3 - In the figure, CD=15,DE=8,tan=43 and sin=35 , Find...Ch. 4.3 - Prob. 79PECh. 4.3 - Prob. 80PECh. 4.3 - Use a cofunction relationship to show that the...Ch. 4.3 - For Exercises 82-85, use a calculator to...Ch. 4.3 - For Exercises 82-85, use a calculator to...Ch. 4.3 - Prob. 84PECh. 4.3 - For Exercises 82-85, use a calculator to...Ch. 4.4 - Let p5,7 be a point on the terminal side of angle ...Ch. 4.4 - Find the reference angle . a. =150 b. =157.5 c....Ch. 4.4 - Evaluate the functions. a. cos56 b. cot120 c....Ch. 4.4 - Evaluate the functions. a. csc11 b. cos600Ch. 4.4 - Given cos=38 and sin0 , find and tan .Ch. 4.4 - Given sin=513 for in Quadrant IV, find cos , and...Ch. 4.4 - The distance from the origin to a point Px,y is...Ch. 4.4 - Prob. 2PECh. 4.4 - If is an angle in standard position, the angle...Ch. 4.4 - The values tan and sec are undefined for odd...Ch. 4.4 - The values cot and csc are undefined for multiples...Ch. 4.4 - For what values of is sin greater than 1 ?Ch. 4.4 - Let px,y be a point on the terminal side of an...Ch. 4.4 - Fill in the cells in the table with the...Ch. 4.4 - For Exercises 9-14, given the stated conditions,...Ch. 4.4 - For Exercises 9-14, given the stated conditions,...Ch. 4.4 - Prob. 11PECh. 4.4 - For Exercises 9-14, given the stated conditions,...Ch. 4.4 - For Exercises 9-14, given the stated conditions,...Ch. 4.4 - For Exercises 9-14, given the stated conditions,...Ch. 4.4 - Prob. 15PECh. 4.4 - For Exercises 15-20, a point is given on the...Ch. 4.4 - For Exercises 15-20, a point is given on the...Ch. 4.4 - For Exercises 15-20, a point is given on the...Ch. 4.4 - For Exercises 15-20, a point is given on the...Ch. 4.4 - For Exercises 15-20, a point is given on the...Ch. 4.4 - Complete the table for the given angles.Ch. 4.4 - Prob. 22PECh. 4.4 - For Exercises 23-30, find the reference angle for...Ch. 4.4 - For Exercises 23-30, find the reference angle for...Ch. 4.4 - For Exercises 23-30, find the reference angle for...Ch. 4.4 - For Exercises 23-30, find the reference angle for...Ch. 4.4 - For Exercises 23-30, find the reference angle for...Ch. 4.4 - Prob. 28PECh. 4.4 - For Exercises 23-30, find the reference angle for...Ch. 4.4 - For Exercises 23-30, find the reference angle for...Ch. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - Prob. 33PECh. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - Prob. 45PECh. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - Prob. 50PECh. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - Prob. 53PECh. 4.4 - For Exercises 31-54, use reference angles to find...Ch. 4.4 - For Exercises 55-58, find two angles between 0 and...Ch. 4.4 - For Exercises 55-58, find two angles between 0 and...Ch. 4.4 - For Exercises 55-58, find two angles between 0 and...Ch. 4.4 - Prob. 58PECh. 4.4 - For Exercises 59-62, find two angles between 0 and...Ch. 4.4 - Prob. 60PECh. 4.4 - For Exercises 59-62, find two angles between 0 and...Ch. 4.4 - For Exercises 59-62, find two angles between 0 and...Ch. 4.4 - In Exercises 63-68, find the values of the...Ch. 4.4 - In Exercises 63-68, find the values of the...Ch. 4.4 - In Exercises 63-68, find the values of the...Ch. 4.4 - In Exercises 63-68, find the values of the...Ch. 4.4 - In Exercises 63-68, find the values of the...Ch. 4.4 - In Exercises 63-68, find the values of the...Ch. 4.4 - Prob. 69PECh. 4.4 - For Exercises 69-74, use fundamental trigonometric...Ch. 4.4 - For Exercises 69-74, use fundamental trigonometric...Ch. 4.4 - For Exercises 69-74, use fundamental trigonometric...Ch. 4.4 - Prob. 73PECh. 4.4 - For Exercises 69-74, use fundamental trigonometric...Ch. 4.4 - Prob. 75PECh. 4.4 - For Exercises 75-76, find the sign of the...Ch. 4.4 - For Exercises 77-84, suppose that is an acute...Ch. 4.4 - For Exercises 77-84, suppose that is an acute...Ch. 4.4 - For Exercises 77-84, suppose that is an acute...Ch. 4.4 - For Exercises 77-84, suppose that is an acute...Ch. 4.4 - For Exercises 77-84, suppose that is an acute...Ch. 4.4 - Prob. 82PECh. 4.4 - Prob. 83PECh. 4.4 - For Exercises 77-84, suppose that is an acute...Ch. 4.4 - For Exercises 85-90, find the value of each...Ch. 4.4 - For Exercises 85-90, find the value of each...Ch. 4.4 - Prob. 87PECh. 4.4 - Prob. 88PECh. 4.4 - For Exercises 85-90, find the value of each...Ch. 4.4 - Prob. 90PECh. 4.4 - Prob. 91PECh. 4.4 - For Exercises 91-94, verify the statement for the...Ch. 4.4 - For Exercises 91-94, verify the statement for the...Ch. 4.4 - For Exercises 91-94, verify the statement for the...Ch. 4.4 - For Exercises 95-96, give the exact values if...Ch. 4.4 - For Exercises 95-96, give the exact values if...Ch. 4.4 - Explain why neither sinnorcos can be greater than...Ch. 4.4 - Explain why tan is undefined at =2 but cot is...Ch. 4.4 - Prob. 99PECh. 4.4 - The circle shown is centered at the origin with a...Ch. 4.4 - Circle A, with radius a, and circle B , with...Ch. 4.5 - Graph the function and identify the key points on...Ch. 4.5 - Given fx=2sin4x, a. Identify the amplitude and...Ch. 4.5 - Given y=cos3x2, a. Identify the amplitude and...Ch. 4.5 - Given y=2cos3x+3, a. Identify the amplitude,...Ch. 4.5 - Given y=2sin6x2+1, a. Identify the amplitude,...Ch. 4.5 - A mechanical metronome uses an inverted pendulum...Ch. 4.5 - The value of sinx (increases/decreases) on 0,2...Ch. 4.5 - The value of cosx (increases/decreases) on 0,2...Ch. 4.5 - The graph of y=sinx and y=cosx differ by a...Ch. 4.5 - Given y=AsinBxC+D or y=AcosBxC+D , for B0 the...Ch. 4.5 - The sine function is an (even/odd) function...Ch. 4.5 - Given B0 , how would the equation y=AsinBxC+D be...Ch. 4.5 - Given B0 , how would the equation y=AcosBxC+D be...Ch. 4.5 - Given y=sinBx and y=cosBx , for B1 , is the period...Ch. 4.5 - From memory, sketch y=sinx on the interval 0,2 .Ch. 4.5 - Prob. 10PECh. 4.5 - For y=cosx , a. The domain is . b. The range is ...Ch. 4.5 - For y=sinx , a. The domain is . b. The range is ....Ch. 4.5 - a. Over what interval (s) taken between 0 and 2 is...Ch. 4.5 - a. Over what interval (s) taken between 0 and 2 is...Ch. 4.5 - Prob. 15PECh. 4.5 - For Exercises 15-16, identify the amplitude of the...Ch. 4.5 - By how many units does the graph of y=14cosx...Ch. 4.5 - By how many units does the graph of y=5sinx...Ch. 4.5 - For Exercises 19-24, graph the function and...Ch. 4.5 - For Exercises 19-24, graph the function and...Ch. 4.5 - Prob. 21PECh. 4.5 - For Exercises 19-24, graph the function and...Ch. 4.5 - For Exercises 19-24, graph the function and...Ch. 4.5 - For Exercises 19-24, graph the function and...Ch. 4.5 - For Exercises 25-26, identify the period. a. sin2x...Ch. 4.5 - Prob. 26PECh. 4.5 - For Exercises 27-32 a. Identify the amplitude and...Ch. 4.5 - For Exercises 27-32 a. Identify the amplitude and...Ch. 4.5 - For Exercises 27-32 a. Identify the amplitude and...Ch. 4.5 - For Exercises 27-32 a. Identify the amplitude and...Ch. 4.5 - For Exercises 27-32 a. Identify the amplitude and...Ch. 4.5 - For Exercises 27-32 a. Identify the amplitude and...Ch. 4.5 - Write a function of the form fx=AcosBx for the...Ch. 4.5 - Write a function of the form gx=AsinBx for the...Ch. 4.5 - Prob. 35PECh. 4.5 - A respiratory cycle is defined as the beginning of...Ch. 4.5 - Prob. 37PECh. 4.5 - For Exercises 37-38, identify the phase shift and...Ch. 4.5 - For Exercises 39-44, a. Identify the amplitude,...Ch. 4.5 - For Exercises 39-44, a. Identify the amplitude,...Ch. 4.5 - For Exercises 39-44, a. Identify the amplitude,...Ch. 4.5 - For Exercises 39-44, a. Identify the amplitude,...Ch. 4.5 - Prob. 43PECh. 4.5 - For Exercises 39-44, a. Identify the amplitude,...Ch. 4.5 - Write a function of the form fx=AcosBxC for the...Ch. 4.5 - Prob. 46PECh. 4.5 - Given y=2sin2x67 , a. Is the period less than or...Ch. 4.5 - Prob. 48PECh. 4.5 - For Exercises 49-52, rewrite the equation so that...Ch. 4.5 - For Exercises 49-52, rewrite the equation so that...Ch. 4.5 - For Exercises 49-52, rewrite the equation so that...Ch. 4.5 - For Exercises 49-52, rewrite the equation so that...Ch. 4.5 - Given y=2sin6x+23 , is the phase shift to the...Ch. 4.5 - Prob. 54PECh. 4.5 - For Exercises 55-68, a. Identify the amplitude,...Ch. 4.5 - For Exercises 55-68, a. Identify the amplitude,...Ch. 4.5 - For Exercises 55-68, a. Identify the amplitude,...Ch. 4.5 - For Exercises 55-68, a. Identify the amplitude,...Ch. 4.5 - For Exercises 55-68, a. Identify the amplitude,...Ch. 4.5 - For Exercises 55-68, a. Identify the amplitude,...Ch. 4.5 - Prob. 61PECh. 4.5 - For Exercises 55-68, a. Identify the amplitude,...Ch. 4.5 - For Exercises 55-68, a. Identify the amplitude,...Ch. 4.5 - For Exercises 55-68, a. Identify the amplitude,...Ch. 4.5 - For Exercises 55-68, a. Identify the amplitude,...Ch. 4.5 - For Exercises 55-68, a. Identify the amplitude,...Ch. 4.5 - Prob. 67PECh. 4.5 - For Exercises 55-68, a. Identify the amplitude,...Ch. 4.5 - The temperature TinF for Kansas City, Missouri,...Ch. 4.5 - The duration of daylight and darkness varies...Ch. 4.5 - The probability of precipitation in Modesto,...Ch. 4.5 - The monthly high temperature for Atlantic City....Ch. 4.5 - An adult human at rest inhales and exhales...Ch. 4.5 - The times for high and low tides are given in the...Ch. 4.5 - The data in the table represent the monthly power...Ch. 4.5 - The data in the table represent the duration of...Ch. 4.5 - For Exercises 77-78, write the range of the...Ch. 4.5 - For Exercises 77-78, write the range of the...Ch. 4.5 - Given fx=cosx and hx=3x+2 , find hfx and hfx , a....Ch. 4.5 - Given gx=sinx and kx=6x , find gkx and gkx a. Find...Ch. 4.5 - Prob. 81PECh. 4.5 - Write a function of the form y=AcosBxC+D that has...Ch. 4.5 - Write a function of the form y=AcosBxC+D that has...Ch. 4.5 - Write a function of the form y=AsinBxC+D that has...Ch. 4.5 - Prob. 85PECh. 4.5 - For Exercises 85-86 a. Write an equation of the...Ch. 4.5 - For Exercises 87-90, explain how to graph the...Ch. 4.5 - For Exercises 87-90, explain how to graph the...Ch. 4.5 - For Exercises 87-90, explain how to graph the...Ch. 4.5 - For Exercises 87-90, explain how to graph the...Ch. 4.5 - Prob. 91PECh. 4.5 - Is fx=cosx one-to-one? Explain why or why not.Ch. 4.5 - Prob. 93PECh. 4.5 - Explain why a function that is increasing on its...Ch. 4.5 - For Exercises 95-96, find the average rate of...Ch. 4.5 - For Exercises 95-96, find the average rate of...Ch. 4.5 - For exercises 97-100, use your knowledge of the...Ch. 4.5 - For exercises 97-100, use your knowledge of the...Ch. 4.5 - Prob. 99PECh. 4.5 - For exercises 97-100, use your knowledge of the...Ch. 4.5 - For Exercises 101-102, graph the piecewise-defined...Ch. 4.5 - For Exercises 101-102, graph the piecewise-defined...Ch. 4.5 - Functions a and m approximate the duration of...Ch. 4.5 - For Exercises 104-105, we demonstrate that...Ch. 4.5 - For Exercises 104-105, we demonstrate that...Ch. 4.5 - For Exercises 106-107, use a graph to solve the...Ch. 4.5 - For Exercises 106-107, use a graph to solve the...Ch. 4.5 - For Exercises 108-109, use a graph to solve the...Ch. 4.5 - Prob. 109PECh. 4.5 - Graph the functions on the window provided....Ch. 4.6 - Graph y=2sec4x .Ch. 4.6 - Graph y=cscx+2 .Ch. 4.6 - Graph y=4tan2x .Ch. 4.6 - Prob. 4SPCh. 4.6 - At values of x for which sinx=0 , the graph of...Ch. 4.6 - Prob. 2PECh. 4.6 - The relative maxima on the graph of y=sinx...Ch. 4.6 - Prob. 4PECh. 4.6 - If a function is an odd function, then each point...Ch. 4.6 - The range of y=tanx and y=cotx is .Ch. 4.6 - The graphs of both y=tanx and y=cotx are symmetric...Ch. 4.6 - For the functions y=AtanBxC and y=AcotBxC with B0...Ch. 4.6 - Sketch the graph of y=cscx from memory. Use the...Ch. 4.6 - Sketch the graph of y=secx from memory. Use the...Ch. 4.6 - For Exercises 11-16, identify the statements among...Ch. 4.6 - For Exercises 11-16, identify the statements among...Ch. 4.6 - For Exercises 11-16, identify the statements among...Ch. 4.6 - Prob. 14PECh. 4.6 - For Exercises 11-16, identify the statements among...Ch. 4.6 - For Exercises 11-16, identify the statements among...Ch. 4.6 - For Exercises 17-32, graph one period of the...Ch. 4.6 - For Exercises 17-32, graph one period of the...Ch. 4.6 - Prob. 19PECh. 4.6 - For Exercises 17-32, graph one period of the...Ch. 4.6 - For Exercises 17-32, graph one period of the...Ch. 4.6 - For Exercises 17-32, graph one period of the...Ch. 4.6 - Prob. 23PECh. 4.6 - For Exercises 17-32, graph one period of the...Ch. 4.6 - For Exercises 17-32, graph one period of the...Ch. 4.6 - For Exercises 17-32, graph one period of the...Ch. 4.6 - For Exercises 17-32, graph one period of the...Ch. 4.6 - For Exercises 17-32, graph one period of the...Ch. 4.6 - For Exercises 17-32, graph one period of the...Ch. 4.6 - Prob. 30PECh. 4.6 - Prob. 31PECh. 4.6 - For Exercises 17-32, graph one period of the...Ch. 4.6 - For Exercises 33-34, write the range of the...Ch. 4.6 - Prob. 34PECh. 4.6 - Prob. 35PECh. 4.6 - Write a function of the form y=cscBxC for the...Ch. 4.6 - A plane flying at an altitude of 5mi travels on a...Ch. 4.6 - The distance dx (in feet) between an observer 30...Ch. 4.6 - a. Graph y=tanx on the interval , b. How many...Ch. 4.6 - a. Graph y=cotx on the interval , . b. How many...Ch. 4.6 - For Exercises 41-42, graph one complete period of...Ch. 4.6 - For Exercises 41-42, graph one complete period of...Ch. 4.6 - For Exercises 43-58, graph the function. (See...Ch. 4.6 - For Exercises 43-58, graph the function. (See...Ch. 4.6 - For Exercises 43-58, graph the function. (See...Ch. 4.6 - For Exercises 43-58, graph the function. (See...Ch. 4.6 - Prob. 47PECh. 4.6 - For Exercises 43-58, graph the function. (See...Ch. 4.6 - For Exercises 43-58, graph the function. (See...Ch. 4.6 - Prob. 50PECh. 4.6 - Prob. 51PECh. 4.6 - For Exercises 43-58, graph the function. (See...Ch. 4.6 - For Exercises 43-58, graph the function. (See...Ch. 4.6 - For Exercises 43-58, graph the function. (See...Ch. 4.6 - For Exercises 43-58, graph the function. (See...Ch. 4.6 - Prob. 56PECh. 4.6 - Prob. 57PECh. 4.6 - For Exercises 43-58, graph the function. (See...Ch. 4.6 - Write a function of the form y=tanBxC for the...Ch. 4.6 - Write a function of the form y=cotBx for the given...Ch. 4.6 - For Exercises 61-64, given y=fx and y=gx . a. Find...Ch. 4.6 - Prob. 62PECh. 4.6 - Prob. 63PECh. 4.6 - For Exercises 61-64, given y=fx and y=gx . a. Find...Ch. 4.6 - Prob. 65PECh. 4.6 - For Exercises 65-68, complete the statements for...Ch. 4.6 - For Exercises 65-68, complete the statements for...Ch. 4.6 - For Exercises 65-68, complete the statements for...Ch. 4.6 - Explain how to find two consecutive vertical...Ch. 4.6 - Prob. 70PECh. 4.6 - Prob. 71PECh. 4.6 - Prob. 72PECh. 4.6 - For Exercises 73-76, solve each equation for x on...Ch. 4.6 - Prob. 74PECh. 4.6 - Prob. 75PECh. 4.6 - For Exercises 73-76, solve each equation for x on...Ch. 4.6 - Show that the maximum length L (in feet) of a beam...Ch. 4.6 - Graph the functions y=tanx forx and y=xx33+2x515...Ch. 4.6 - Graph the functions y=secx and y=1+x22+5x424 on...Ch. 4.6 - Given fx=x2,gx=tanx, and hx=secx . a. Find fhx ....Ch. 4.6 - Given rx=x2,sx=cotx, and tx=cscx , a. Find rtx b....Ch. 4.6 - For Exercises 1-16, identify which functions shown...Ch. 4.6 - Prob. 2PRECh. 4.6 - For Exercises 1-16, identify which functions shown...Ch. 4.6 - For Exercises 1-16, identify which functions shown...Ch. 4.6 - For Exercises 1-16, identify which functions shown...Ch. 4.6 - Prob. 6PRECh. 4.6 - For Exercises 1-16, identify which functions shown...Ch. 4.6 - For Exercises 1-16, identify which functions shown...Ch. 4.6 - Prob. 9PRECh. 4.6 - For Exercises 1-16, identify which functions shown...Ch. 4.6 - For Exercises 1-16, identify which functions shown...Ch. 4.6 - For Exercises 1-16, identify which functions shown...Ch. 4.6 - Prob. 13PRECh. 4.6 - For Exercises 1-16, identify which functions shown...Ch. 4.6 - For Exercises 1-16, identify which functions shown...Ch. 4.6 - For Exercises 1-16, identify which functions shown...Ch. 4.7 - Find the exact values or state that the expression...Ch. 4.7 - Find the exact values. a. cos11 b. tan133 c....Ch. 4.7 - Use a calculator to approximate the function...Ch. 4.7 - Use a calculator to approximate the degree measure...Ch. 4.7 - Find the exact values. a. coscos11 b. cos1cos43Ch. 4.7 - Find the exact value of sintan1125 .Ch. 4.7 - Find the exact value of cossin1211 .Ch. 4.7 - Write the expressiontansin1xx2+9 as an algebraic...Ch. 4.7 - For the construction of a house, a 16-ft by 6-ft...Ch. 4.7 - Approximate each expression in radians, rounded to...Ch. 4.7 - A function must be on its entire domain to have...Ch. 4.7 - If 23,12 is on the graph of y=cosx , what is the...Ch. 4.7 - The graph of y=tan1x has two ...Ch. 4.7 - The domain of y=arctanx is . The output is a real...Ch. 4.7 - In interval notation, the domain of y=cos1x is ....Ch. 4.7 - In interval notation, the domain ofy=sin1x is ....Ch. 4.7 - For Exercises 7-12, find the exact value or state...Ch. 4.7 - For Exercises 7-12, find the exact value or state...Ch. 4.7 - For Exercises 7-12, find the exact value or state...Ch. 4.7 - For Exercises 7-12, find the exact value or state...Ch. 4.7 - For Exercises 7-12, find the exact value or state...Ch. 4.7 - For Exercises 7-12, find the exact value or state...Ch. 4.7 - For Exercises 13-16, find the exact value....Ch. 4.7 - For Exercises 13-16, find the exact value....Ch. 4.7 - For Exercises 13-16, find the exact value....Ch. 4.7 - For Exercises 13-16, find the exact value....Ch. 4.7 - For Exercises 17-28, find the exact value or state...Ch. 4.7 - For Exercises 17-28, find the exact value or state...Ch. 4.7 - For Exercises 17-28, find the exact value or state...Ch. 4.7 - Prob. 20PECh. 4.7 - For Exercises 17-28, find the exact value or state...Ch. 4.7 - For Exercises 17-28, find the exact value or state...Ch. 4.7 - For Exercises 17-28, find the exact value or state...Ch. 4.7 - For Exercises 17-28, find the exact value or state...Ch. 4.7 - Prob. 25PECh. 4.7 - For Exercises 17-28, find the exact value or state...Ch. 4.7 - Prob. 27PECh. 4.7 - Prob. 28PECh. 4.7 - For Exercises 29-32, find the exact value....Ch. 4.7 - For Exercises 29-32, find the exact value....Ch. 4.7 - For Exercises 29-32, find the exact value....Ch. 4.7 - For Exercises 29-32, find the exact value....Ch. 4.7 - For Exercises 33-36, use a calculator to...Ch. 4.7 - For Exercises 33-36, use a calculator to...Ch. 4.7 - Prob. 35PECh. 4.7 - Prob. 36PECh. 4.7 - For Exercises 37-46, use a calculator to...Ch. 4.7 - For Exercises 37-46, use a calculator to...Ch. 4.7 - For Exercises 37-46, use a calculator to...Ch. 4.7 - For Exercises 37-46, use a calculator to...Ch. 4.7 - For Exercises 37-46, use a calculator to...Ch. 4.7 - For Exercises 37-46, use a calculator to...Ch. 4.7 - Prob. 43PECh. 4.7 - For Exercises 37-46, use a calculator to...Ch. 4.7 - Prob. 45PECh. 4.7 - For Exercises 37-46, use a calculator to...Ch. 4.7 - For Exercises 47-58, find the exact values. (See...Ch. 4.7 - For Exercises 47-58, find the exact values. (See...Ch. 4.7 - For Exercises 47-58, find the exact values. (See...Ch. 4.7 - Prob. 50PECh. 4.7 - For Exercises 47-58, find the exact values. (See...Ch. 4.7 - For Exercises 47-58, find the exact values. (See...Ch. 4.7 - For Exercises 47-58, find the exact values. (See...Ch. 4.7 - For Exercises 47-58, find the exact values. (See...Ch. 4.7 - For Exercises 47-58, find the exact values. (See...Ch. 4.7 - For Exercises 47-58, find the exact values. (See...Ch. 4.7 - Prob. 57PECh. 4.7 - For Exercises 47-58, find the exact values. (See...Ch. 4.7 - For Exercises 59-70, find the exact values. (See...Ch. 4.7 - For Exercises 59-70, find the exact values. (See...Ch. 4.7 - Prob. 61PECh. 4.7 - For Exercises 59-70, find the exact values. (See...Ch. 4.7 - For Exercises 59-70, find the exact values. (See...Ch. 4.7 - For Exercises 59-70, find the exact values. (See...Ch. 4.7 - For Exercises 59-70, find the exact values. (See...Ch. 4.7 - Prob. 66PECh. 4.7 - For Exercises 59-70, find the exact values. (See...Ch. 4.7 - For Exercises 59-70, find the exact values. (See...Ch. 4.7 - For Exercises 59-70, find the exact values. (See...Ch. 4.7 - Prob. 70PECh. 4.7 - For Exercises 71-76, write the given expression as...Ch. 4.7 - For Exercises 71-76, write the given expression as...Ch. 4.7 - For Exercises 71-76, write the given expression as...Ch. 4.7 - For Exercises 71-76, write the given expression as...Ch. 4.7 - Prob. 75PECh. 4.7 - For Exercises 71-76, write the given expression as...Ch. 4.7 - To meet the requirements of the Americans with...Ch. 4.7 - A student measures the length of the shadow of the...Ch. 4.7 - A balloon advertising an open house is stabilized...Ch. 4.7 - A group of campers hikes down a steep path. One...Ch. 4.7 - Navajo Tube Hill, a snow tubing hill in Utah, is...Ch. 4.7 - A ski run on Giant Steps Mountain in Utah is 1475m...Ch. 4.7 - Prob. 83PECh. 4.7 - Prob. 84PECh. 4.7 - Show that sec1x=cos11x for x1 .Ch. 4.7 - Show that csc1x=sin11x for x1.Ch. 4.7 - Show that secx1+csc1x=2 for x1 .Ch. 4.7 - Prob. 88PECh. 4.7 - Prob. 89PECh. 4.7 - For Exercises 89-94, find the exact values. sec12Ch. 4.7 - Prob. 91PECh. 4.7 - Prob. 92PECh. 4.7 - For Exercises 89-94, find the exact values. cot13Ch. 4.7 - For Exercises 89-94, find the exact values. cot11Ch. 4.7 - For Exercises 95-100, use a calculator to...Ch. 4.7 - For Exercises 95-100, use a calculator to...Ch. 4.7 - For Exercises 95-100, use a calculator to...Ch. 4.7 - Prob. 98PECh. 4.7 - For Exercises 95-100, use a calculator to...Ch. 4.7 - For Exercises 95-100, use a calculator to...Ch. 4.7 - For Exercises 101-104, find the exact value if...Ch. 4.7 - Prob. 102PECh. 4.7 - For Exercises 101-104, find the exact value if...Ch. 4.7 - For Exercises 101-104, find the exact value if...Ch. 4.7 - Prob. 105PECh. 4.7 - For Exercises 105-108, find the inverse function...Ch. 4.7 - For Exercises 105-108, find the inverse function...Ch. 4.7 - For Exercises 105-108, find the inverse function...Ch. 4.7 - A video camera located at ground level follows the...Ch. 4.7 - The effective focal length f of a camera is the...Ch. 4.7 - For Exercises 111-114, use the relationship given...Ch. 4.7 - For Exercises 111-114, use the relationship given...Ch. 4.7 - Prob. 113PECh. 4.7 - For Exercises 111-114, use the relationship given...Ch. 4.7 - For Exercises 115-120, find the exact solution to...Ch. 4.7 - For Exercises 115-120, find the exact solution to...Ch. 4.7 - For Exercises 115-120, find the exact solution to...Ch. 4.7 - Prob. 118PECh. 4.7 - For Exercises 115-120, find the exact solution to...Ch. 4.7 - Prob. 120PECh. 4.7 - Prob. 121PECh. 4.7 - Explain the flaw in the logic:cos4=22 . Therefore,...Ch. 4.7 - Prob. 123PECh. 4.7 - Prob. 124PECh. 4.7 - In calculus, we can show that the area below the...Ch. 4.7 - Prob. 126PECh. 4.7 - The vertical viewing angle to a movie screen is...Ch. 4.7 - Prob. 128PECh. 4.7 - a. Graph the functions y=tan1x and y=xx33+x55 on...Ch. 4 - Convert 9628 to decimal degrees. Round to 2...Ch. 4 - Convert 225.24 to DMS (degree-minute-second) form....Ch. 4 - Convert 124 to radians. Give the answer in exact...Ch. 4 - Convert 73.8 to radians. Round to 2 decimal...Ch. 4 - Convert 58 radians to decimal degrees. Round to 1...Ch. 4 - For Exercises 6-8, find a positive angle...Ch. 4 - For Exercises 6-8, find a positive angle...Ch. 4 - For Exercises 6-8, find a positive angle...Ch. 4 - For Exercises 9-11, find a negative angle...Ch. 4 - For Exercises 9-11, find a negative angle...Ch. 4 - For Exercises 9-11, find a negative angle...Ch. 4 - Find an angle between 0 and 360 that is coterminal...Ch. 4 - Prob. 13RECh. 4 - A municide with a wheel diameter of 24in . moves...Ch. 4 - A pulley is 1.5ft in diameter. Find the distance...Ch. 4 - Seattle, Washington 47.61N,122.33W , and San...Ch. 4 - A spinning disk has radius of 10in . and rotates...Ch. 4 - A bicycle has wheels 26 inches in diameter. If the...Ch. 4 - A sprinkler rotates through an angle of 75...Ch. 4 - A round pie 10in. in diameter is cut into a slice...Ch. 4 - The real number t corresponds to the point P357,27...Ch. 4 - Identify the ordered pair on the unit circle...Ch. 4 - Identify the domain for each pair of functions. a....Ch. 4 - For Exercises 24-29, use the unit circle and the...Ch. 4 - For Exercises 24-29, use the unit circle and the...Ch. 4 - For Exercises 24-29, use the unit circle and the...Ch. 4 - For Exercises 24-29, use the unit circle and the...Ch. 4 - For Exercises 24-29, use the unit circle and the...Ch. 4 - For Exercises 24-29, use the unit circle and the...Ch. 4 - For Exercises 30-31, use the even -odd and...Ch. 4 - For Exercises 30-31, use the even -odd and...Ch. 4 - Write cost in terms of sint for t in Quadrant IV.Ch. 4 - Write cott in terms of csct for t in Quadrant II.Ch. 4 - Suppose that a right triangle C has legs of length...Ch. 4 - Determine the values of the six trigonometric...Ch. 4 - For Exercises 36-37, construct a right triangle to...Ch. 4 - For Exercises 36-37, construct a right triangle to...Ch. 4 - For Exercises 38-39, evaluate the expression...Ch. 4 - For Exercises 38-39, evaluate the expression...Ch. 4 - Given sin=99101 and cos=20101 , use the reciprocal...Ch. 4 - For Exercises 41-43, use an appropriate...Ch. 4 - For Exercises 41-43, use an appropriate...Ch. 4 - For Exercises 41-43, use an appropriate...Ch. 4 - For Exercises 44-45, given the function value,...Ch. 4 - For Exercises 44-45, given the function value,...Ch. 4 - Use a calculator to approximate the function...Ch. 4 - An observer at the top of a 48-ft building...Ch. 4 - During the first quarter moon, the Earth, Sun, and...Ch. 4 - Let P3,5 be a point on the terminal side of angle ...Ch. 4 - For Exercises 50-55, find the reference angle for...Ch. 4 - For Exercises 50-55, find the reference angle for...Ch. 4 - For Exercises 50-55, find the reference angle for...Ch. 4 - For Exercises 50-55, find the reference angle for...Ch. 4 - For Exercises 50-55, find the reference angle for...Ch. 4 - For Exercises 50-55, find the reference angle for...Ch. 4 - For Exercises 56-61, use reference angles to find...Ch. 4 - For Exercises 56-61, use reference angles to find...Ch. 4 - For Exercises 56-61, use reference angles to find...Ch. 4 - For Exercises 56-61, use reference angles to find...Ch. 4 - For Exercises 56-61, use reference angles to find...Ch. 4 - For Exercises 56-61, use reference angles to find...Ch. 4 - Identify which expressions are undefined. a....Ch. 4 - Given tan=23 and sin0 . Find sec .Ch. 4 - Given cos=37 and cot0 , find sin .Ch. 4 - Given sin=6061 and Quadrant III, find cot .Ch. 4 - For Exercises 66-69, determine the amplitude and...Ch. 4 - For Exercises 66-69, determine the amplitude and...Ch. 4 - For Exercises 66-69, determine the amplitude and...Ch. 4 - For Exercises 66-69, determine the amplitude and...Ch. 4 - For Exercises 70-72, graph one period of the...Ch. 4 - For Exercises 70-72, graph one period of the...Ch. 4 - For Exercises 70-72, graph one period of the...Ch. 4 - Determine the amplitude, period, and phase shift...Ch. 4 - For Exercises 74-75, graph one period of the...Ch. 4 - For Exercises 74-75, graph one period of the...Ch. 4 - For Exercises 76-77, determine the amplitude,...Ch. 4 - For Exercises 76-77, determine the amplitude,...Ch. 4 - For Exercises 78-79, graph one period of the...Ch. 4 - For Exercises 78-79, graph one period of the...Ch. 4 - The depth of water along a coastal inlet varies...Ch. 4 - The data in the table represent the percentage of...Ch. 4 - For Exercises 82-85, give the period of the...Ch. 4 - For Exercises 82-85, give the period of the...Ch. 4 - For Exercises 82-85, give the period of the...Ch. 4 - For Exercises 82-85, give the period of the...Ch. 4 - For Exercises 86-89, graph one period of the...Ch. 4 - For Exercises 86-89, graph one period of the...Ch. 4 - For Exercises 86-89, graph one period of the...Ch. 4 - For Exercises 86-89, graph one period of the...Ch. 4 - For Exercises 90-91, graph two periods of the...Ch. 4 - For Exercises 90-91, graph two periods of the...Ch. 4 - y=cot2xCh. 4 - y=cot2x+3Ch. 4 - For Exercises 94-109, evaluate the expression....Ch. 4 - For Exercises 94-109, evaluate the expression....Ch. 4 - For Exercises 94-109, evaluate the expression....Ch. 4 - For Exercises 94-109, evaluate the expression....Ch. 4 - For Exercises 94-109, evaluate the expression....Ch. 4 - For Exercises 94-109, evaluate the expression....Ch. 4 - For Exercises 94-109, evaluate the expression....Ch. 4 - For Exercises 94-109, evaluate the expression....Ch. 4 - For Exercises 94-109, evaluate the expression....Ch. 4 - For Exercises 94-109, evaluate the expression....Ch. 4 - For Exercises 94-109, evaluate the expression....Ch. 4 - For Exercises 94-109, evaluate the expression....Ch. 4 - For Exercises 94-109, evaluate the expression....Ch. 4 - For Exercises 94-109, evaluate the expression....Ch. 4 - For Exercises 94-109, evaluate the expression....Ch. 4 - For Exercises 94-109, evaluate the expression....Ch. 4 - Use a calculator to approximate the function...Ch. 4 - For Exercises 111-114, use a calculator to...Ch. 4 - For Exercises 111-114, use a calculator to...Ch. 4 - For Exercises 111-114, use a calculator to...Ch. 4 - For Exercises 111-114, use a calculator to...Ch. 4 - Write the given expression as an algebraic...Ch. 4 - Find the lengths of sides a,b , and c to the...Ch. 4 - The length of the perpendicular line segment BP...Ch. 4 - Find the angle of repose for the pile of coarse...Ch. 4 - Convert 15.36 to DMS (degree-minute-second) form....Ch. 4 - Convert 130.3 to radians. Round to 2 decimal...Ch. 4 - Find the exact length of the arc intercepted by a...Ch. 4 - A skateboard designed for rough surfaces has...Ch. 4 - A pulley is 20 in. in diameter. Through how many...Ch. 4 - A circle has a radius of 9 yd. Find the area of a...Ch. 4 - For an acute angle if sin=56 evaluate cos and tan...Ch. 4 - Evaluate tan 6cot6 without the use of a...Ch. 4 - Given sin=513 , use a Pythagorean identity to find...Ch. 4 - Given sec75=2+6 , find a cofunction of another...Ch. 4 - Use a calculator to approximate sin sin211 to 4...Ch. 4 - A flag pole casts a shadow of 20 ft when the angle...Ch. 4 - A newly planted tree is anchored by a covered wire...Ch. 4 - For Exercises 14-21, evaluate the function or...Ch. 4 - For Exercises 14-21, evaluate the function or...Ch. 4 - For Exercises 14-21, evaluate the function or...Ch. 4 - For Exercises 14-21 evaluate the function or state...Ch. 4 - For Exercises 14-21 evaluate the function or state...Ch. 4 - For Exercises 14-21 evaluate the function or state...Ch. 4 - For Exercises 14-21 evaluate the function or state...Ch. 4 - For Exercises 14-21, evaluate the function or...Ch. 4 - Given sin=58 andcos0 , findtan .Ch. 4 - Given sec=43 and sin0 find csc .Ch. 4 - Given tan=43 and is in Quadrant IV, find sec .Ch. 4 - For Exercises 25-28, select the trigonometric...Ch. 4 - For Exercises 25-28, select the trigonometric...Ch. 4 - For Exercises 25-28, select the trigonometric...Ch. 4 - For Exercises 25-28, select the trigonometric...Ch. 4 - Use the even-odd and periodic properties of the...Ch. 4 - Suppose that a rectangle is bounded by the x-axis...Ch. 4 - For Exercises 31-32, determine the amplitude,...Ch. 4 - For Exercises 31-32, determine the amplitude,...Ch. 4 - For Exercises 33-36, graph one period of the...Ch. 4 - For Exercises 33-36, graph one period of the...Ch. 4 - For Exercises 33-36, graph one period of the...Ch. 4 - For Exercises 33-36, graph one period of the...Ch. 4 - Write a function of the form fx=AcosBx for the...Ch. 4 - Identify each statement as true or false. If a...Ch. 4 - For Exercises 39-40, graph one period of the...Ch. 4 - For Exercises 39-40, graph one period of the...Ch. 4 - For Exercises 41-42, graph two periods of the...Ch. 4 - For Exercises 41-42, graph two periods of the...Ch. 4 - Simplify each expression. a. sin132+cos122 b....Ch. 4 - Use a calculator to approximate the degree measure...Ch. 4 - Find the exact value of sin1sin116 .Ch. 4 - Find the exact value of tancos178Ch. 4 - Prob. 47TCh. 4 - Write the expression tancos1xx2+25 for x0 as an...Ch. 4 - A radar station tracks a plane flying at a...Ch. 4 - For Exercises 1-9, solve the equations and...Ch. 4 - Prob. 2CRECh. 4 - For Exercises 1-9, solve the equations and...Ch. 4 - For Exercises 1-9, solve the equations and...Ch. 4 - Prob. 5CRECh. 4 - Prob. 6CRECh. 4 - For Exercises 1-9, solve the equations and...Ch. 4 - Prob. 8CRECh. 4 - For Exercises 1-9, solve the equations and...Ch. 4 - Prob. 10CRECh. 4 - Given y=x2+2x4 a. Identify the vertex. b. Write...Ch. 4 - Given fx=x42x34x2+8x, a. Find the x -intercepts of...Ch. 4 - a. Graph y=3x2+x53x2 . b. Identify the asymptotes.Ch. 4 - Given y=2sin4x6, identify the a. Domain and range...Ch. 4 - Given fx=tanx and gx=x2 evaluate a. fog2 b. g+fCh. 4 - Prob. 16CRECh. 4 - Evaluate tanarcsin38 .Ch. 4 - Write the logarithm as the sum or difference of...Ch. 4 - Divide. Write the answer in standard form,...Ch. 4 - Suppose that y varies inversely as x and directly...

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Fundamental Trigonometric Identities: Reciprocal, Quotient, and Pythagorean Identities; Author: Mathispower4u;https://www.youtube.com/watch?v=OmJ5fxyXrfg;License: Standard YouTube License, CC-BY