Precalculus: A Unit Circle Approach (3rd Edition)
Precalculus: A Unit Circle Approach (3rd Edition)
3rd Edition
ISBN: 9780134433042
Author: J. S. Ratti, Marcus S. McWaters, Leslaw Skrzypek
Publisher: PEARSON
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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 151E

The points ( x , y ) , ( − x , y ) , ( x , − y ) , and ( − x , − y ) , are terminal points on the unit circle of the arcs of length s , t , u , and v , respectively.

How are cos s and sin s

related to cos t and sin t ?

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Chapter 4 Solutions

Precalculus: A Unit Circle Approach (3rd Edition)

Ch. 4.1 - A negative angle is formed by rotating the initial...Ch. 4.1 - An angle is in standard position if its vertex is...Ch. 4.1 - Prob. 3ECh. 4.1 - To convert degrees to radians, multiply degrees by...Ch. 4.1 - True or False. One radian is smaller than one...Ch. 4.1 - True or False. The circumference of a circle with...Ch. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - Draw each angle in standard position. Ch. 4.1 - Draw each angle in standard position.
Ch. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Draw each angle in standard position. Ch. 4.1 - Draw each angle in standard position. Ch. 4.1 - Draw each angle in standard position. Ch. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - Convert each angle to decimal degree notation....Ch. 4.1 - Convert each angle to DMS notation. Round your...Ch. 4.1 - Convert each angle to DMS notation. Round your...Ch. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Convert each angle from degrees to radians....Ch. 4.1 - Convert each angle from degrees to radians....Ch. 4.1 - Convert each angle from degrees to radians....Ch. 4.1 - Convert each angle from degrees to radians....Ch. 4.1 - Prob. 33ECh. 4.1 - Convert each angle from degrees to radians....Ch. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - Convert each angle from radians to degrees. Ch. 4.1 - Convert each angle from radians to degrees. Ch. 4.1 - Convert each angle from radians to degrees. Ch. 4.1 - Convert each angle from radians to degrees. Ch. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - Convert each angle from degrees to radians. Round...Ch. 4.1 - Convert each angle from degrees to radians. Round...Ch. 4.1 - Convert each angle from degrees to radians. Round...Ch. 4.1 - Convert each angle from radians to degrees. Round...Ch. 4.1 - Convert each angle from radians to degrees. Round...Ch. 4.1 - Convert each angle from radians to degrees. Round...Ch. 4.1 - Convert each angle from radians to degrees. Round...Ch. 4.1 - Find the angle between 0 and radians that is...Ch. 4.1 - Find the angle between 0 and radians that is...Ch. 4.1 - Find the angle between 0 and radians that is...Ch. 4.1 - Find the angle between 0 and radians that is...Ch. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Find the angle between and that is coterminal...Ch. 4.1 - Find the angle between and that is coterminal...Ch. 4.1 - Find the angle between and that is coterminal...Ch. 4.1 - Find the angle between and that is coterminal...Ch. 4.1 - Find the complement and the supplement of the...Ch. 4.1 - Prob. 66ECh. 4.1 - Prob. 67ECh. 4.1 - Prob. 68ECh. 4.1 - Prob. 69ECh. 4.1 - Prob. 70ECh. 4.1 - Use the following notations: = central angle of a...Ch. 4.1 - Use the following notations: = central angle of a...Ch. 4.1 - Use the following notations: = central angle of a...Ch. 4.1 - Prob. 74ECh. 4.1 - Use the following notations: = central angle of a...Ch. 4.1 - Prob. 76ECh. 4.1 - Prob. 77ECh. 4.1 - Prob. 78ECh. 4.1 - Use the following notations: = central angle of a...Ch. 4.1 - Use the following notations: = central angle of a...Ch. 4.1 - Prob. 81ECh. 4.1 - Prob. 82ECh. 4.1 - Prob. 83ECh. 4.1 - Prob. 84ECh. 4.1 - Use the following notations: = central angle of a...Ch. 4.1 - Prob. 86ECh. 4.1 - Prob. 87ECh. 4.1 - Prob. 88ECh. 4.1 - Use the following notations: = central angle of a...Ch. 4.1 - Prob. 90ECh. 4.1 - Prob. 91ECh. 4.1 - Nautical miles. A nautical mile is the length of...Ch. 4.1 - Prob. 93ECh. 4.1 - Prob. 94ECh. 4.1 - Diameter of a pizza. You are told that a slice of...Ch. 4.1 - Prob. 96ECh. 4.1 - Prob. 97ECh. 4.1 - Prob. 98ECh. 4.1 - Prob. 99ECh. 4.1 - Prob. 100ECh. 4.1 - Prob. 101ECh. 4.1 - Prob. 102ECh. 4.1 - Prob. 103ECh. 4.1 - Prob. 104ECh. 4.1 - Prob. 105ECh. 4.1 - Prob. 106ECh. 4.1 - The latitude of any location on Earth is the angle...Ch. 4.1 - Prob. 108ECh. 4.1 - Prob. 109ECh. 4.1 - Prob. 110ECh. 4.1 - Prob. 111ECh. 4.1 - Prob. 112ECh. 4.1 - Prob. 113ECh. 4.1 - Prob. 114ECh. 4.1 - Prob. 115ECh. 4.1 - Prob. 116ECh. 4.1 - Prob. 117ECh. 4.1 - Prob. 118ECh. 4.1 - Prob. 119ECh. 4.1 - Prob. 120ECh. 4.1 - Prob. 121ECh. 4.1 - Prob. 122ECh. 4.1 - Prob. 123ECh. 4.1 - Prob. 124ECh. 4.1 - Prob. 125ECh. 4.1 - Prob. 126ECh. 4.1 - Prob. 127ECh. 4.1 - Prob. 128ECh. 4.2 - A unit circle is a circle of radius centered at...Ch. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Determine whether the given point is on the unit...Ch. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Determine whether the given point is on the unit...Ch. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Find all numbers (if any) so that the given point...Ch. 4.2 - Find all numbers (if any) so that the given point...Ch. 4.2 - Find all numbers (if any) so that the given point...Ch. 4.2 - Find all numbers (if any) so that the given point...Ch. 4.2 - Prob. 19ECh. 4.2 - Find all numbers (if any) so that the given point...Ch. 4.2 - is the terminal point on the unit circle that...Ch. 4.2 - Prob. 22ECh. 4.2 - is the terminal point on the unit circle that...Ch. 4.2 - is the terminal point on the unit circle that...Ch. 4.2 - Prob. 25ECh. 4.2 - is the terminal point on the unit circle that...Ch. 4.2 - Let . Find the values of,, and . Ch. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Find the values (if any) of the six trigonometric...Ch. 4.2 - Find the values (if any) of the six trigonometric...Ch. 4.2 - Prob. 35ECh. 4.2 - Find the values (if any) of the six trigonometric...Ch. 4.2 - Find the values (if any) of the six trigonometric...Ch. 4.2 - Prob. 38ECh. 4.2 - Find each trigonometric function value. Ch. 4.2 - Find each trigonometric function value. Ch. 4.2 - Find each trigonometric function value. Ch. 4.2 - Find each trigonometric function value. Ch. 4.2 - Find each trigonometric function value. Ch. 4.2 - Find each trigonometric function value. Ch. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - Prob. 50ECh. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Prob. 54ECh. 4.2 - Prob. 55ECh. 4.2 - Prob. 56ECh. 4.2 - Prob. 57ECh. 4.2 - Prob. 58ECh. 4.2 - Prob. 59ECh. 4.2 - Prob. 60ECh. 4.2 - Prob. 61ECh. 4.2 - Prob. 62ECh. 4.2 - Prob. 63ECh. 4.2 - Prob. 64ECh. 4.2 - Prob. 65ECh. 4.2 - Prob. 66ECh. 4.2 - Prob. 67ECh. 4.2 - Prob. 68ECh. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Prob. 72ECh. 4.2 - Prob. 73ECh. 4.2 - Prob. 74ECh. 4.2 - Prob. 75ECh. 4.2 - Prob. 76ECh. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Prob. 80ECh. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Prob. 82ECh. 4.2 - Prob. 83ECh. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Prob. 86ECh. 4.2 - Use Table 4.1 and symmetry (see Figure 4.32) to...Ch. 4.2 - Prob. 88ECh. 4.2 - Prob. 89ECh. 4.2 - Prob. 90ECh. 4.2 - Prob. 91ECh. 4.2 - Prob. 92ECh. 4.2 - Prob. 93ECh. 4.2 - Prob. 94ECh. 4.2 - Prob. 95ECh. 4.2 - Prob. 96ECh. 4.2 - Prob. 97ECh. 4.2 - Prob. 98ECh. 4.2 - Prob. 99ECh. 4.2 - Prob. 100ECh. 4.2 - Prob. 101ECh. 4.2 - Prob. 102ECh. 4.2 - Prob. 103ECh. 4.2 - Prob. 104ECh. 4.2 - Prob. 105ECh. 4.2 - Prob. 106ECh. 4.2 - Prob. 107ECh. 4.2 - Prob. 108ECh. 4.2 - Prob. 109ECh. 4.2 - Prob. 110ECh. 4.2 - Use a calculator to find the approximate value of...Ch. 4.2 - Use a calculator to find the approximate value of...Ch. 4.2 - Prob. 113ECh. 4.2 - Prob. 114ECh. 4.2 - Prob. 115ECh. 4.2 - Prob. 116ECh. 4.2 - Use a calculator to find the approximate value of...Ch. 4.2 - Use a calculator to find the approximate value of...Ch. 4.2 - Use a calculator to find the approximate value of...Ch. 4.2 - Use a calculator to find the approximate value of...Ch. 4.2 - Prob. 121ECh. 4.2 - Prob. 122ECh. 4.2 - Prob. 123ECh. 4.2 - Prob. 124ECh. 4.2 - Prob. 125ECh. 4.2 - Prob. 126ECh. 4.2 - Blood pressure. Maurice’s blood pressure (in...Ch. 4.2 - Deer population. The number of deer in a region is...Ch. 4.2 - Tide pattern. The depth of water, d feet, in a...Ch. 4.2 - Pollution levels. On a typical day, a particular...Ch. 4.2 - Daylight hours in Midland. The monthly average...Ch. 4.2 - Average temperature in Nashville. The monthly...Ch. 4.2 - Find all possible values of that correspond to the...Ch. 4.2 - Find all possible values of that correspond to the...Ch. 4.2 - Find all possible values of that correspond to the...Ch. 4.2 - Prob. 136ECh. 4.2 - Find all possible values of that correspond to the...Ch. 4.2 - Find all possible values of that correspond to the...Ch. 4.2 - Find the two values of t in the intervalthat...Ch. 4.2 - Prob. 140ECh. 4.2 - Prob. 141ECh. 4.2 - Prob. 142ECh. 4.2 - Prob. 143ECh. 4.2 - Prob. 144ECh. 4.2 - The point is the terminal point on the unit...Ch. 4.2 - The point is the terminal point on the unit...Ch. 4.2 - The point is the terminal point on the unit...Ch. 4.2 - Prob. 148ECh. 4.2 - Find all values of in the interval for which is...Ch. 4.2 - For how many numbers in the interval is the...Ch. 4.2 - The points , , , and , are terminal points on the...Ch. 4.2 - Prob. 152ECh. 4.2 - True or False. If, then . Ch. 4.2 - True or False. If, then. Ch. 4.2 - Let, find the missing quantity and then find the...Ch. 4.2 - Prob. 156ECh. 4.2 - Prob. 157ECh. 4.2 - Prob. 158ECh. 4.2 - Prob. 159ECh. 4.2 - Prob. 160ECh. 4.2 - Find the angle between and or and radians that is...Ch. 4.2 - Prob. 162ECh. 4.2 - Prob. 163ECh. 4.2 - Prob. 164ECh. 4.2 - Prob. 165ECh. 4.2 - Prob. 166ECh. 4.2 - Prob. 167ECh. 4.2 - Prob. 168ECh. 4.2 - Prob. 169ECh. 4.2 - Prob. 170ECh. 4.3 - Prob. 1ECh. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - A point on the terminal side of an angle in...Ch. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - Prob. 14ECh. 4.3 - A point on the terminal side of an angle in...Ch. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Use the given information to find the quadrant in...Ch. 4.3 - Find the exact values of the trigonometric...Ch. 4.3 - Find the exact values of the trigonometric...Ch. 4.3 - Prob. 31ECh. 4.3 - Prob. 32ECh. 4.3 - Find the exact values of the trigonometric...Ch. 4.3 - Find the exact values of the trigonometric...Ch. 4.3 - Find the exact values of the trigonometric...Ch. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.3 - Find the reference angle for each angle. Ch. 4.3 - Prob. 40ECh. 4.3 - Prob. 41ECh. 4.3 - Prob. 42ECh. 4.3 - Prob. 43ECh. 4.3 - Prob. 44ECh. 4.3 - Find the reference angle for each angle. Ch. 4.3 - Prob. 46ECh. 4.3 - Prob. 47ECh. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - Use the reference angle to find the exact value of...Ch. 4.3 - Use the reference angle to find the exact value of...Ch. 4.3 - Use the reference angle to find the exact value of...Ch. 4.3 - Use the reference angle to find the exact value of...Ch. 4.3 - Use the reference angle to find the exact value of...Ch. 4.3 - Use the reference angle to find the exact value of...Ch. 4.3 - Prob. 56ECh. 4.3 - Use the reference angle to find the exact value of...Ch. 4.3 - Use the reference angle to find the exact value of...Ch. 4.3 - Prob. 59ECh. 4.3 - Prob. 60ECh. 4.3 - Prob. 61ECh. 4.3 - Prob. 62ECh. 4.3 - Use reciprocal and quotient identities to find the...Ch. 4.3 - Use reciprocal and quotient identities to find the...Ch. 4.3 - Use reciprocal and quotient identities to find the...Ch. 4.3 - Prob. 66ECh. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - Prob. 69ECh. 4.3 - Prob. 70ECh. 4.3 - Prob. 71ECh. 4.3 - Use fundamental identities to find the exact value...Ch. 4.3 - Use fundamental identities to find the exact value...Ch. 4.3 - Use fundamental identities to find the exact value...Ch. 4.3 - Prob. 75ECh. 4.3 - Prob. 76ECh. 4.3 - Prob. 77ECh. 4.3 - Prob. 78ECh. 4.3 - Prob. 79ECh. 4.3 - Prob. 80ECh. 4.3 - Use the Pythagorean identities to find the exact...Ch. 4.3 - Use the Pythagorean identities to find the exact...Ch. 4.3 - Use the Pythagorean identities to find the exact...Ch. 4.3 - Prob. 84ECh. 4.3 - Prob. 85ECh. 4.3 - Prob. 86ECh. 4.3 - Use even-odd identities to find the exact value of...Ch. 4.3 - Prob. 88ECh. 4.3 - Use even-odd identities to find the exact value of...Ch. 4.3 - Use even-odd identities to find the exact value of...Ch. 4.3 - Use even-odd identities to find the exact value of...Ch. 4.3 - Prob. 92ECh. 4.3 - Prob. 93ECh. 4.3 - Prob. 94ECh. 4.3 - Prob. 95ECh. 4.3 - Prob. 96ECh. 4.3 - Prob. 97ECh. 4.3 - Use even-odd identities to find the exact value of...Ch. 4.3 - Prob. 99ECh. 4.3 - Cable cost. Cable must be laid from a point on the...Ch. 4.3 - Household voltage. The voltage in a common...Ch. 4.3 - Volume of a cone. The volume, in, of the cone in...Ch. 4.3 - Prob. 103ECh. 4.3 - Prob. 104ECh. 4.3 - Prob. 105ECh. 4.3 - Prob. 106ECh. 4.3 - Use the information given for Exercises 105 and...Ch. 4.3 - Use the information given for Exercises 105 and...Ch. 4.3 - Prob. 109ECh. 4.3 - Prob. 110ECh. 4.3 - Prob. 111ECh. 4.3 - Prob. 112ECh. 4.3 - Prob. 113ECh. 4.3 - Prob. 114ECh. 4.3 - Prob. 115ECh. 4.3 - Prob. 116ECh. 4.3 - Prob. 117ECh. 4.3 - Prob. 118ECh. 4.3 - Prob. 119ECh. 4.3 - Prob. 120ECh. 4.3 - Prob. 121ECh. 4.3 - Prob. 122ECh. 4.3 - Prob. 123ECh. 4.3 - Prob. 124ECh. 4.3 - Prob. 125ECh. 4.3 - Prob. 126ECh. 4.3 - Prob. 127ECh. 4.3 - Show that Ch. 4.3 - Find a positive number x for which a. . b. . Ch. 4.3 - Without evaluating the functions, explain why each...Ch. 4.3 - Without evaluating the functions, explain why each...Ch. 4.3 - Prob. 132ECh. 4.3 - Prob. 133ECh. 4.3 - Prob. 134ECh. 4.3 - Prob. 135ECh. 4.3 - Find the zeros of each function. Ch. 4.3 - Find the zeros of each function. Ch. 4.3 - Find the zeros of each function. Ch. 4.3 - Prob. 139ECh. 4.3 - Prob. 140ECh. 4.3 - Prob. 141ECh. 4.3 - Prob. 142ECh. 4.3 - Prob. 143ECh. 4.3 - Prob. 144ECh. 4.3 - Use the given graph of to graph each function. Ch. 4.3 - Use the given graph of to graph each function. Ch. 4.3 - Use the given graph of to graph each function. Ch. 4.3 - Prob. 148ECh. 4.3 - Prob. 149ECh. 4.3 - Prob. 150ECh. 4.4 - The lowest point on the graph of,, occurs when . Ch. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - The maximum value of is. Ch. 4.4 - True or False. The amplitude of is. Ch. 4.4 - True or False. The range of is. Ch. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - Prob. 25ECh. 4.4 - Prob. 26ECh. 4.4 - Sketch the graph of each given equation over the...Ch. 4.4 - Prob. 28ECh. 4.4 - Find the amplitude, period, and phase shift of...Ch. 4.4 - Find the amplitude, period, and phase shift of...Ch. 4.4 - Find the amplitude, period, and phase shift of...Ch. 4.4 - Prob. 32ECh. 4.4 - Find the amplitude, period, and phase shift of...Ch. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - Prob. 36ECh. 4.4 - Write an equation of the form with the given...Ch. 4.4 - Write an equation of the form with the given...Ch. 4.4 - Write an equation of the form with the given...Ch. 4.4 - Write an equation of the form with the given...Ch. 4.4 - Prob. 41ECh. 4.4 - Write an equation of the form with the given...Ch. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - Write an equation for each sinusoidal graph. Ch. 4.4 - Write an equation for each sinusoidal graph. Ch. 4.4 - Write an equation for each sinusoidal graph. Ch. 4.4 - Prob. 48ECh. 4.4 - Prob. 49ECh. 4.4 - Prob. 50ECh. 4.4 - Write an equation for each sinusoidal graph. Ch. 4.4 - Write an equation for each sinusoidal graph. Ch. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Graph each function over a one-period...Ch. 4.4 - Prob. 58ECh. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - Prob. 61ECh. 4.4 - Prob. 62ECh. 4.4 - Prob. 63ECh. 4.4 - Prob. 64ECh. 4.4 - Prob. 65ECh. 4.4 - Prob. 66ECh. 4.4 - Write each function in the form or. Find each...Ch. 4.4 - Prob. 68ECh. 4.4 - Prob. 69ECh. 4.4 - Prob. 70ECh. 4.4 - Prob. 71ECh. 4.4 - Prob. 72ECh. 4.4 - Prob. 73ECh. 4.4 - Prob. 74ECh. 4.4 - Prob. 75ECh. 4.4 - Prob. 76ECh. 4.4 - Prob. 77ECh. 4.4 - Prob. 78ECh. 4.4 - Prob. 79ECh. 4.4 - Prob. 80ECh. 4.4 - Prob. 81ECh. 4.4 - Prob. 82ECh. 4.4 - Prob. 83ECh. 4.4 - Prob. 84ECh. 4.4 - Prob. 85ECh. 4.4 - Prob. 86ECh. 4.4 - Prob. 87ECh. 4.4 - Prob. 88ECh. 4.4 - Prob. 89ECh. 4.4 - Prob. 90ECh. 4.4 - Prob. 91ECh. 4.4 - Prob. 92ECh. 4.4 - Prob. 93ECh. 4.4 - Prob. 94ECh. 4.4 - Prob. 95ECh. 4.4 - Prob. 96ECh. 4.4 - Prob. 97ECh. 4.4 - Prob. 98ECh. 4.4 - Prob. 99ECh. 4.4 - Prob. 100ECh. 4.4 - Prob. 101ECh. 4.4 - Prob. 102ECh. 4.4 - Prob. 103ECh. 4.4 - Prob. 104ECh. 4.4 - Prob. 105ECh. 4.4 - Prob. 106ECh. 4.4 - Prob. 107ECh. 4.4 - Find the equation of each line in slope-intercept...Ch. 4.4 - Find the equation of each line in slope-intercept...Ch. 4.4 - Prob. 110ECh. 4.4 - Prob. 111ECh. 4.4 - Prob. 112ECh. 4.4 - Prob. 113ECh. 4.4 - Prob. 114ECh. 4.4 - Let and . State whether each function is even,...Ch. 4.4 - Let and . State whether each function is even,...Ch. 4.4 - Let and . State whether each function is even,...Ch. 4.4 - Prob. 118ECh. 4.4 - Prob. 119ECh. 4.4 - Prob. 120ECh. 4.5 - Prob. 1ECh. 4.5 - Prob. 2ECh. 4.5 - If and, then. Ch. 4.5 - The maximum value of for is. Ch. 4.5 - True or False. The line makes an angle of with...Ch. 4.5 - Prob. 6ECh. 4.5 - Prob. 7ECh. 4.5 - Prob. 8ECh. 4.5 - Find the slope-intercept form of the equation of...Ch. 4.5 - Find the slope-intercept form of the equation of...Ch. 4.5 - Find the slope-intercept form of the equation of...Ch. 4.5 - Find the slope-intercept form of the equation of...Ch. 4.5 - Graph each function over a one-period interval. Ch. 4.5 - Graph each function over a one-period...Ch. 4.5 - Graph each function over a one-period...Ch. 4.5 - Prob. 16ECh. 4.5 - Graph each function over a one-period...Ch. 4.5 - Prob. 18ECh. 4.5 - Graph each function over a one-period...Ch. 4.5 - Graph each function over a one-period...Ch. 4.5 - Graph each function over a one-period...Ch. 4.5 - Graph each function over a one-period...Ch. 4.5 - Graph each function over a one-period...Ch. 4.5 - Prob. 24ECh. 4.5 - Graph each function over a one-period...Ch. 4.5 - Prob. 26ECh. 4.5 - Graph each function over a one-period...Ch. 4.5 - Prob. 28ECh. 4.5 - Graph each function over a one-period...Ch. 4.5 - Graph each function over a one-period interval. Ch. 4.5 - Graph each function over a two-period interval. Ch. 4.5 - Prob. 32ECh. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Prob. 36ECh. 4.5 - Graph each function over a two-period...Ch. 4.5 - Graph each function over a two-period...Ch. 4.5 - Graph each function over a two-period...Ch. 4.5 - Prob. 40ECh. 4.5 - Prob. 41ECh. 4.5 - Prob. 42ECh. 4.5 - Prob. 43ECh. 4.5 - Prob. 44ECh. 4.5 - Graph each function over a two-period interval. ...Ch. 4.5 - Graph each function over a two-period interval. ...Ch. 4.5 - Graph each function over a two-period...Ch. 4.5 - Graph each function over a two-period interval. Ch. 4.5 - Prob. 49ECh. 4.5 - Prob. 50ECh. 4.5 - Write an equation of the form for each graph. Ch. 4.5 - Prob. 52ECh. 4.5 - Prob. 53ECh. 4.5 - Write an equation of the form for each graph. Ch. 4.5 - Write an equation of the form for each graph. Ch. 4.5 - Write an equation of the form for each graph. Ch. 4.5 - Prison searchlight. A dual-beam rotating light n a...Ch. 4.5 - Prob. 58ECh. 4.5 - Prob. 59ECh. 4.5 - Prob. 60ECh. 4.5 - Circumscribed polygon. A regular circumscribed...Ch. 4.5 - Circumscribed polygon. A regular circumscribed...Ch. 4.5 - Modeling with Tangent Function. Model the given...Ch. 4.5 - Modeling with Tangent Function. Model the given...Ch. 4.5 - Prob. 65ECh. 4.5 - Prob. 66ECh. 4.5 - Prob. 67ECh. 4.5 - Prob. 68ECh. 4.5 - Prob. 69ECh. 4.5 - Prob. 70ECh. 4.5 - Graph each function over a tow - period...Ch. 4.5 - Graph each function over a tow - period...Ch. 4.5 - Prob. 73ECh. 4.5 - Prob. 74ECh. 4.5 - Prob. 75ECh. 4.5 - Prob. 76ECh. 4.5 - Prob. 77ECh. 4.5 - Prob. 78ECh. 4.5 - Prob. 79ECh. 4.5 - For what number b does have period? Ch. 4.5 - Write an equation in the form that has the same...Ch. 4.5 - How can you obtain the graph of by using...Ch. 4.5 - Prob. 83ECh. 4.5 - Prob. 84ECh. 4.5 - Prob. 85ECh. 4.5 - Prob. 86ECh. 4.5 - Prob. 87ECh. 4.5 - Prob. 88ECh. 4.5 - True or False. If f is a one-to-one function, then...Ch. 4.5 - True or False. For a one-to-one function, the...Ch. 4.5 - Show that is not one-to-one on its domain. Write...Ch. 4.5 - Prob. 92ECh. 4.5 - Prob. 93ECh. 4.5 - Prob. 94ECh. 4.6 - The domain of is . Ch. 4.6 - Prob. 2ECh. 4.6 - The exact value of is . Ch. 4.6 - = . Ch. 4.6 - True or False. If , then . Ch. 4.6 - Prob. 6ECh. 4.6 - Prob. 7ECh. 4.6 - Prob. 8ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 14ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 17ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 22ECh. 4.6 - Prob. 23ECh. 4.6 - Prob. 24ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 29ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 31ECh. 4.6 - Prob. 32ECh. 4.6 - Prob. 33ECh. 4.6 - Prob. 34ECh. 4.6 - Prob. 35ECh. 4.6 - Prob. 36ECh. 4.6 - Prob. 37ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 42ECh. 4.6 - Prob. 43ECh. 4.6 - Prob. 44ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 47ECh. 4.6 - Prob. 48ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 50ECh. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Find each exact value of y or state that y is...Ch. 4.6 - Prob. 53ECh. 4.6 - Prob. 54ECh. 4.6 - Prob. 55ECh. 4.6 - Prob. 56ECh. 4.6 - Prob. 57ECh. 4.6 - Prob. 58ECh. 4.6 - Use the identities on page 422 to find the exact...Ch. 4.6 - Use the identities on page 422 to find the exact...Ch. 4.6 - Use the identities on page 422 to find the exact...Ch. 4.6 - Prob. 62ECh. 4.6 - Use the identities on page 422 to find the exact...Ch. 4.6 - Prob. 64ECh. 4.6 - Prob. 65ECh. 4.6 - Prob. 66ECh. 4.6 - Use the identities on page 422 to find the exact...Ch. 4.6 - Prob. 68ECh. 4.6 - Prob. 69ECh. 4.6 - Use a calculator to find each value of y in...Ch. 4.6 - Prob. 71ECh. 4.6 - Prob. 72ECh. 4.6 - Prob. 73ECh. 4.6 - Use a calculator to find each value of y in...Ch. 4.6 - Prob. 75ECh. 4.6 - Prob. 76ECh. 4.6 - Prob. 77ECh. 4.6 - Prob. 78ECh. 4.6 - Prob. 79ECh. 4.6 - Prob. 80ECh. 4.6 - Prob. 81ECh. 4.6 - Use a sketch to find each exact value of y. Ch. 4.6 - Use a sketch to find each exact value of y. Ch. 4.6 - Prob. 84ECh. 4.6 - Use a sketch to find each exact value of y. Ch. 4.6 - Prob. 86ECh. 4.6 - Use a sketch to find each exact value of y. Ch. 4.6 - Prob. 88ECh. 4.6 - Prob. 89ECh. 4.6 - Use a sketch to find each exact value of y. Ch. 4.6 - Prob. 91ECh. 4.6 - Prob. 92ECh. 4.6 - Motorcycle racing. A video camera is set up x feet...Ch. 4.6 - Prob. 94ECh. 4.6 - Prob. 95ECh. 4.6 - Prob. 96ECh. 4.6 - Prob. 97ECh. 4.6 - Prob. 98ECh. 4.6 - Prob. 99ECh. 4.6 - Prob. 100ECh. 4.6 - Determine whether each function is increasing or...Ch. 4.6 - Determine whether each function is increasing or...Ch. 4.6 - Prob. 103ECh. 4.6 - Prob. 104ECh. 4.6 - Prob. 105ECh. 4.6 - Prob. 106ECh. 4.6 - Prob. 107ECh. 4.6 - Prob. 108ECh. 4.6 - Use transformations to sketch the graph of each...Ch. 4.6 - Use transformations to sketch the graph of each...Ch. 4.6 - Use transformations to sketch the graph of each...Ch. 4.6 - Prob. 112ECh. 4.6 - Prob. 113ECh. 4.6 - Prob. 114ECh. 4.6 - Prob. 115ECh. 4.6 - Prob. 116ECh. 4.6 - Find all values of x in the interval. for which...Ch. 4.6 - Find all values of x for which [Hint: Take the...Ch. 4.6 - Prob. 119ECh. 4.6 - Prob. 120ECh. 4.6 - Prob. 121ECh. 4.6 - Prob. 122ECh. 4.6 - Prob. 123ECh. 4.6 - Prob. 124ECh. 4.6 - Prob. 125ECh. 4.6 - Simplify: . Ch. 4 - Draw each angle in standard position. Ch. 4 - Draw each angle in standard position. Ch. 4 - Draw each angle in standard position. Ch. 4 - Prob. 4RECh. 4 - Convert each angle from degrees to radians....Ch. 4 - Prob. 6RECh. 4 - Convert each angle from degrees to radians....Ch. 4 - Convert each angle from radians to degrees. Ch. 4 - Convert each angle from radians to degrees. Ch. 4 - Convert each angle from radians to degrees. Ch. 4 - Find the radian measure of a central angle of a...Ch. 4 - Prob. 12RECh. 4 - Find the length of the arc on each circle of...Ch. 4 - Prob. 14RECh. 4 - Find the area of the sector of a circle of radius...Ch. 4 - Find the area of the sector of a circle of radius...Ch. 4 - Use each given trigonometric function value of to...Ch. 4 - Use each given trigonometric function value of to...Ch. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - A point on the terminal side of an angle is...Ch. 4 - A point on the terminal side of an angle is...Ch. 4 - A point on the terminal side of an angle is...Ch. 4 - Prob. 24RECh. 4 - Use the given information to find the quadrant in...Ch. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Find the exact values of the remaining...Ch. 4 - Find the exact values of the remaining...Ch. 4 - Find the exact values of the remaining...Ch. 4 - Find the exact value of each trigonometric...Ch. 4 - Find the exact value of each trigonometric...Ch. 4 - Find the exact value of each trigonometric...Ch. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Sketch the graph of each given equation over the...Ch. 4 - Sketch the graph of each given equation over the...Ch. 4 - Sketch the graph of each given equation over the...Ch. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Graph each function over a two-period...Ch. 4 - Graph each function over a two-period...Ch. 4 - Graph each function over a two-period...Ch. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - Prob. 53RECh. 4 - Prob. 54RECh. 4 - Find the exact value of y or state that y is...Ch. 4 - Find the exact value of y or state that y is...Ch. 4 - Prob. 57RECh. 4 - Prob. 58RECh. 4 - Prob. 59RECh. 4 - Prob. 60RECh. 4 - Prob. 61RECh. 4 - Prob. 62RECh. 4 - Prob. 63RECh. 4 - Write an equation of the form for the given...Ch. 4 - Distance. A tractor rolls backward so that its...Ch. 4 - Angle measure. What is the radian measure of the...Ch. 4 - Prob. 67RECh. 4 - Angular speed. A horse on the outside row of a...Ch. 4 - Prob. 69RECh. 4 - Prob. 70RECh. 4 - Prob. 71RECh. 4 - Viewing Angle. The bottom of a 40-foot movie...Ch. 4 - Convert to radians. Ch. 4 - Convert to degrees. Ch. 4 - Prob. 3PTACh. 4 - Prob. 4PTACh. 4 - Prob. 5PTACh. 4 - Prob. 6PTACh. 4 - Prob. 7PTACh. 4 - Prob. 8PTACh. 4 - What is the reference angle for? Ch. 4 - If, find. Ch. 4 - Form a seat meters high on a Ferris wheel, the...Ch. 4 - Prob. 12PTACh. 4 - Prob. 13PTACh. 4 - Prob. 14PTACh. 4 - Prob. 15PTACh. 4 - Prob. 16PTACh. 4 - Graph over a one-period interval. Ch. 4 - Find the exact value of . Ch. 4 - Find the exact value of . Ch. 4 - Prob. 20PTACh. 4 - Prob. 1PTBCh. 4 - Prob. 2PTBCh. 4 - Prob. 3PTBCh. 4 - Prob. 4PTBCh. 4 - Prob. 5PTBCh. 4 - Prob. 6PTBCh. 4 - Prob. 7PTBCh. 4 - Prob. 8PTBCh. 4 - What is the reference angle for? a. b. c. d. Ch. 4 - Prob. 10PTBCh. 4 - Prob. 11PTBCh. 4 - Prob. 12PTBCh. 4 - Prob. 13PTBCh. 4 - Prob. 14PTBCh. 4 - Prob. 15PTBCh. 4 - Prob. 16PTBCh. 4 - Prob. 17PTBCh. 4 - Prob. 18PTBCh. 4 - Prob. 19PTBCh. 4 - Find the exact value of. a. b. c. d. Ch. 4 - Solve the equation. Ch. 4 - Find all real numbers solutions of the equation. Ch. 4 - Solve the inequality and write the answer in...Ch. 4 - Write the slope-intercept form of the equation of...Ch. 4 - Find the domain of the function. Ch. 4 - Identify the basic function and then use...Ch. 4 - Use transformations to sketch the graph of the...Ch. 4 - Find and write the domain of in interval...Ch. 4 - Determine whether each function has an inverse...Ch. 4 - Use synthetic division to find the quotient and...Ch. 4 - Find the horizontal and vertical asymptotes of the...Ch. 4 - Use rules of logarithms to rewrite each expression...Ch. 4 - Sketch the graph of Ch. 4 - Solve the equation. Ch. 4 - Find all possible rational zeros of the...Ch. 4 - Use the given trigonometric function value of to...Ch. 4 - Find the exact values of the remaining...Ch. 4 - Prob. 18CRECh. 4 - Prob. 19CRECh. 4 - Prob. 20CRE

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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