Precalculus (MindTap Course List)
Precalculus (MindTap Course List)
10th Edition
ISBN: 9781337271073
Author: Ron Larson
Publisher: Cengage Learning
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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.CR, Problem 51CR
To determine

To find:

The reference angle θ′ for the angle θ=264° and to sketch θ in the standard position and also to label θ′.

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Chapter 4 Solutions

Precalculus (MindTap Course List)

Ch. 4.1 - Determine two coterminal angles one positive and...Ch. 4.1 - Prob. 2CPCh. 4.1 - Prob. 3CPCh. 4.1 - Prob. 4CPCh. 4.1 - Prob. 5CPCh. 4.1 - The second hand of a clock is 8 centimeters long....Ch. 4.1 - Prob. 7CPCh. 4.1 - Prob. 8CPCh. 4.1 - Prob. 1ECh. 4.1 - Prob. 2E
Ch. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Estimating an Angle In Exercise 7-10, estimate the...Ch. 4.1 - Estimating an Angle In Exercise 7-10, estimate the...Ch. 4.1 - Estimating an Angle In Exercise 7-10, estimate the...Ch. 4.1 - Estimating an Angle In Exercise 7-10, estimate the...Ch. 4.1 - Determine Quadrants In Exercise 11 and 12,...Ch. 4.1 - Determine Quadrants In Exercise 11 and 12,...Ch. 4.1 - Sketching Angles In Exercise 13 and 14, sketch...Ch. 4.1 - Prob. 14ECh. 4.1 - Finding Coterminal Angles In Exercise 15 and 16,...Ch. 4.1 - Finding Coterminal Angles In Exercise 15 and 16,...Ch. 4.1 - Complementary and Supplementary Angles In Exercise...Ch. 4.1 - Complementary and Supplementary Angles In Exercise...Ch. 4.1 - Complementary and Supplementary Angles In Exercise...Ch. 4.1 - Prob. 20ECh. 4.1 - Estimating an Angle In Exercise 21-24, estimate...Ch. 4.1 - Prob. 22ECh. 4.1 - Estimating an Angle In Exercise 21-24, estimate...Ch. 4.1 - Prob. 24ECh. 4.1 - Determining Quadrants In Exercise 25 and 26,...Ch. 4.1 - Determining Quadrants In Exercise 25 and 26,...Ch. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Finding Coterminal Angles In Exercise 29 and 30,...Ch. 4.1 - Complementary and Supplementary Angles In Exercise...Ch. 4.1 - Prob. 32ECh. 4.1 - Complementary and Supplementary Angles In Exercise...Ch. 4.1 - Prob. 34ECh. 4.1 - Concerting from Degrees to Radians In Exercise 35...Ch. 4.1 - Concerting from Degrees to Radians In Exercise 35...Ch. 4.1 - Converting from Radians to Degrees In Exercise 37...Ch. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Converting from Degrees to Radians In Exercises...Ch. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Converting from Radians to Degrees In Exercise...Ch. 4.1 - Prob. 45ECh. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - Finding Arc Length In Exercises 51 and 52, find...Ch. 4.1 - Finding Arc Length In Exercise 51 and 52, find the...Ch. 4.1 - Finding the Central Angle In Exercise 53 and 54,...Ch. 4.1 - Finding the Central Angle In Exercise 53 and 54,...Ch. 4.1 - Finding the Central Angle In Exercise 55 and 56,...Ch. 4.1 - Finding the Central Angle In Exercise 55 and 56,...Ch. 4.1 - Area of a Sector of a Circle In Exercises 57 and...Ch. 4.1 - Area of a Sector of a Circle In Exercises 57 and...Ch. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Earth-Space Science In Exercises 61 and 62, find...Ch. 4.1 - Prob. 62ECh. 4.1 - Prob. 63ECh. 4.1 - Linear and Angular Speed A 714- inch circular...Ch. 4.1 - Linear and Angular Speed A carousel with a 50-foot...Ch. 4.1 - Prob. 66ECh. 4.1 - Linear and Angular Speed A computerized spin...Ch. 4.1 - The radii of the pedal sprocket, the wheel...Ch. 4.1 - Area A sprinkler on a golf green is set to spray...Ch. 4.1 - Prob. 70ECh. 4.1 - True or False? In Exercise 71-74, determine...Ch. 4.1 - True or False? In Exercise 71-74, determine...Ch. 4.1 - Prob. 73ECh. 4.1 - Exploration True or False? In Exercises 71-74,...Ch. 4.1 - Prob. 75ECh. 4.1 - Prob. 76ECh. 4.1 - Prob. 77ECh. 4.1 - Prob. 78ECh. 4.1 - Proof Prove that the area of a circular sector of...Ch. 4.2 - Evaluate the six trigonometric functions at each...Ch. 4.2 - a. Use the period of the cosine function to...Ch. 4.2 - Prob. 3CPCh. 4.2 - Prob. 1ECh. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Evaluating Trigonometric Functions In Exercises...Ch. 4.2 - Prob. 6ECh. 4.2 - Evaluating Trigonometric Functions In Exercises...Ch. 4.2 - Evaluating Trigonometric Functions In Exercises...Ch. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Evaluating Sine, Cosine, and Tangent In Exercises...Ch. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - Prob. 18ECh. 4.2 - Prob. 19ECh. 4.2 - Evaluating Sine, Cosine, and Tangent In Exercises...Ch. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Evaluating Trigonometric Functions In...Ch. 4.2 - Prob. 24ECh. 4.2 - Prob. 25ECh. 4.2 - Prob. 26ECh. 4.2 - Evaluating Trigonometric Functions In...Ch. 4.2 - Prob. 28ECh. 4.2 - Evaluating Trigonometric Functions In...Ch. 4.2 - Prob. 30ECh. 4.2 - Using Period to Evaluate Sine and Cosine In...Ch. 4.2 - Prob. 32ECh. 4.2 - Using Period to Evaluate Sine and Cosine In...Ch. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - Using Period to Evaluate Sine and Cosine In...Ch. 4.2 - Using the Value of a Function In Exercises 37-42,...Ch. 4.2 - Using the Value of a Function In Exercises 37-42,...Ch. 4.2 - Using the Value of a Function In Exercises 37-42,...Ch. 4.2 - Prob. 40ECh. 4.2 - Using the Value of a Function In Exercises 37-42,...Ch. 4.2 - Using the Value of a Function In Exercises 37-42,...Ch. 4.2 - Using a Calculator In Exercises 43-48, use a...Ch. 4.2 - Prob. 44ECh. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.2 - Using a Calculator In Exercises 43-48, use a...Ch. 4.2 - Prob. 48ECh. 4.2 - Harmonic Motion The displacement from equilibrium...Ch. 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. 4.3 - Use the triangle below to find the values of the...Ch. 4.3 - Find the values of cot45,sec45, and csc45.Ch. 4.3 - Use the equilateral triangle shown in Figure 4.21...Ch. 4.3 - Use a calculator to evaluate csc343036.Ch. 4.3 - Let be an acute angle such that cos=0.96. Find...Ch. 4.3 - Let be an acute angle such that tan=2. Find the...Ch. 4.3 - Use trigonometric identities to transform the left...Ch. 4.3 - The angle of elevation to the top of a flagpole at...Ch. 4.3 - Find the acute angle between the two paths shown...Ch. 4.3 - Find the length c and the horizontal length a of...Ch. 4.3 - Vocabulary Match each trigonometry function with...Ch. 4.3 - Vocabulary In Exercises 24, fill in the blanks....Ch. 4.3 - Vocabulary In Exercises 24, fill in the blanks....Ch. 4.3 - Vocabulary In Exercises 24, fill in the blanks. An...Ch. 4.3 - Skills and Applications Evaluating Trigonometry...Ch. 4.3 - Skills and Applications Evaluating Trigonometry...Ch. 4.3 - Skills and Applications Evaluating Trigonometry...Ch. 4.3 - Skills and Applications Evaluating Trigonometry...Ch. 4.3 - Prob. 9ECh. 4.3 - Skills and Applications Evaluating Trigonometry...Ch. 4.3 - Skills and Applications Evaluating Trigonometry...Ch. 4.3 - Skills and Applications Evaluating Trigonometry...Ch. 4.3 - Skills and Applications Evaluating Trigonometry...Ch. 4.3 - Skills and Applications Evaluating Trigonometry...Ch. 4.3 - Evaluating trigonometric Functions In Exercises...Ch. 4.3 - Evaluating trigonometric Functions In Exercises...Ch. 4.3 - Evaluating trigonometric Functions In Exercises...Ch. 4.3 - Evaluating trigonometric Functions In Exercises...Ch. 4.3 - Evaluating trigonometric Functions In Exercises...Ch. 4.3 - Evaluating trigonometric Functions In Exercises...Ch. 4.3 - Evaluating trigonometric Functions In Exercises...Ch. 4.3 - Evaluating trigonometric Functions In Exercises...Ch. 4.3 - Evaluating trigonometric Functions of 30,45,and60...Ch. 4.3 - Evaluating trigonometric Functions of 30,45,and60...Ch. 4.3 - Evaluating trigonometric Functions of 30,45,and60...Ch. 4.3 - Prob. 26ECh. 4.3 - Evaluating trigonometric Functions of 30,45,and60...Ch. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - Using a Calculator In Exercise 29-36, use a...Ch. 4.3 - Prob. 31ECh. 4.3 - Prob. 32ECh. 4.3 - Using a Calculator In Exercise 29-36, use a...Ch. 4.3 - Using a Calculator In Exercise 29-36, use a...Ch. 4.3 - Prob. 35ECh. 4.3 - Prob. 36ECh. 4.3 - Applying Trigonometric Identities In Exercise...Ch. 4.3 - Applying Trigonometric Identities In Exercise...Ch. 4.3 - Applying Trigonometric Identities In Exercise...Ch. 4.3 - Prob. 40ECh. 4.3 - Applying Trigonometric Identities In Exercise...Ch. 4.3 - Applying Trigonometric Identities In Exercise...Ch. 4.3 - Using Trigonometric Identities In Exercise 43-52,...Ch. 4.3 - Using Trigonometric Identities In Exercise 43-52,...Ch. 4.3 - Using Trigonometric Identities In Exercise 43-52,...Ch. 4.3 - Prob. 46ECh. 4.3 - Using Trigonometric Identities In Exercise 43-52,...Ch. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - Prob. 52ECh. 4.3 - Prob. 53ECh. 4.3 - Prob. 54ECh. 4.3 - Finding Special Angles of a triagle In Exercises...Ch. 4.3 - Prob. 56ECh. 4.3 - Prob. 57ECh. 4.3 - Prob. 58ECh. 4.3 - Prob. 59ECh. 4.3 - Finding Side Length of a Triangle In Exercise...Ch. 4.3 - Prob. 61ECh. 4.3 - Prob. 62ECh. 4.3 - Empire State Building You are standing 45 meters...Ch. 4.3 - Height of a Tower A six-foot person walks from the...Ch. 4.3 - Angle of Elevation You are skiing down a mountain...Ch. 4.3 - Prob. 66ECh. 4.3 - Guy Wire A guy wire runs from the ground to a cell...Ch. 4.3 - Height of a Mountain In traveling across flat...Ch. 4.3 - Prob. 69ECh. 4.3 - Machine Shop Calculations A tapered shaft has a...Ch. 4.3 - Prob. 71ECh. 4.3 - Prob. 72ECh. 4.3 - Prob. 73ECh. 4.3 - Prob. 74ECh. 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 - Prob. 81ECh. 4.3 - Prob. 82ECh. 4.3 - Prob. 83ECh. 4.3 - Prob. 84ECh. 4.4 - Checkpoint Let (2,3) be a point on the terminal...Ch. 4.4 - Prob. 2CPCh. 4.4 - Prob. 3CPCh. 4.4 - Prob. 4CPCh. 4.4 - Prob. 5CPCh. 4.4 - Prob. 6CPCh. 4.4 - Prob. 7CPCh. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - The acute angle formed by the terminal side of an...Ch. 4.4 - Skills and Applications Evaluating Trigonometric...Ch. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Skills and Applications Evaluating Trigonometric...Ch. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Evaluating Trigonometric Functions In Exercises...Ch. 4.4 - Prob. 19ECh. 4.4 - Prob. 20ECh. 4.4 - Prob. 21ECh. 4.4 - Determining a Quadrant In Exercises 19-22...Ch. 4.4 - Evaluating Trigonometric Functions In Exercises...Ch. 4.4 - Evaluating Trigonometric Functions In Exercises...Ch. 4.4 - Prob. 25ECh. 4.4 - Evaluating Trigonometric Functions In Exercises...Ch. 4.4 - Prob. 27ECh. 4.4 - Prob. 28ECh. 4.4 - Prob. 29ECh. 4.4 - Evaluating Trigonometric Functions In Exercises...Ch. 4.4 - Prob. 31ECh. 4.4 - Prob. 32ECh. 4.4 - Prob. 33ECh. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - Prob. 36ECh. 4.4 - Prob. 37ECh. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Prob. 40ECh. 4.4 - Trigonometric Functions of a Quadrantal Angle In...Ch. 4.4 - Prob. 42ECh. 4.4 - Prob. 43ECh. 4.4 - Trigonometric Functions of a Quadrantal Angle In...Ch. 4.4 - Prob. 45ECh. 4.4 - Prob. 46ECh. 4.4 - Finding a Reference Angle In Exercises 47-54, find...Ch. 4.4 - Finding a Reference Angle In Exercises 47-54, find...Ch. 4.4 - Finding a Reference Angle In Exercises 47-54, find...Ch. 4.4 - Finding a Reference Angle In Exercises 47-54, find...Ch. 4.4 - Prob. 51ECh. 4.4 - Prob. 52ECh. 4.4 - Finding a Reference Angle In Exercises 47-54, find...Ch. 4.4 - Prob. 54ECh. 4.4 - Using a Reference Angle In Exercises 55-68,...Ch. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.4 - Using a Reference Angle In Exercises 55-68,...Ch. 4.4 - Prob. 60ECh. 4.4 - Using a Reference Angle In Exercises 55-68,...Ch. 4.4 - Prob. 62ECh. 4.4 - Prob. 63ECh. 4.4 - Prob. 64ECh. 4.4 - Prob. 65ECh. 4.4 - Using a Reference Angle In Exercises 55-68,...Ch. 4.4 - Using a Reference Angle In Exercises 55-68,...Ch. 4.4 - Prob. 68ECh. 4.4 - Prob. 69ECh. 4.4 - Prob. 70ECh. 4.4 - Prob. 71ECh. 4.4 - Using a Trigonometric Identity In Exercises 69-74,...Ch. 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 - Using a Calculator In Exercises 75-90, use a...Ch. 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 - Distance An airplane, flying at an altitude of 6...Ch. 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 - Writing Write a short essay explaining to a...Ch. 4.4 - Prob. 106ECh. 4.5 - Sketch the graph of y=2cosx on the interval...Ch. 4.5 - In the same coordinate plane, sketch the graph of...Ch. 4.5 - Sketch the graph of y=cosx3.Ch. 4.5 - Analyze the graph of y=2cos(x2).Ch. 4.5 - Sketch the graph of y=12sin(x+). The constant d in...Ch. 4.5 - Sketch the graph of y=2cosx5.Ch. 4.5 - Find a sine model for the data in Example 7....Ch. 4.5 - Fill in the blanks. One period of a sine or cosine...Ch. 4.5 - Prob. 2ECh. 4.5 - Fill in the blanks. For the function...Ch. 4.5 - Prob. 4ECh. 4.5 - Finding the Period and Amplitude In Exercises 512,...Ch. 4.5 - Finding the Period and Amplitude In Exercises 512,...Ch. 4.5 - Finding the Period and Amplitude In Exercises 512,...Ch. 4.5 - Prob. 8ECh. 4.5 - Finding the Period and Amplitude In Exercises 512,...Ch. 4.5 - Finding the Period and Amplitude In Exercises 512,...Ch. 4.5 - Finding the Period and Amplitude In Exercises 512,...Ch. 4.5 - Finding the Period and Amplitude In Exercises 512,...Ch. 4.5 - Describing the Relationship Between Graphs In...Ch. 4.5 - Prob. 14ECh. 4.5 - Describing the Relationship Between Graphs In...Ch. 4.5 - Prob. 16ECh. 4.5 - Describing the Relationship Between Graphs In...Ch. 4.5 - Prob. 18ECh. 4.5 - Describing the Relationship Between Graphs In...Ch. 4.5 - Describing the Relationship Between Graphs In...Ch. 4.5 - Describing the Relationship Between Graphs In...Ch. 4.5 - Describing the Relationship Between Graphs In...Ch. 4.5 - Describing the Relationship Between Graphs In...Ch. 4.5 - Prob. 24ECh. 4.5 - Sketching Graphs of Sine or Cosine Functions In...Ch. 4.5 - Prob. 26ECh. 4.5 - Sketching Graphs of Sine or Cosine Functions In...Ch. 4.5 - Prob. 28ECh. 4.5 - Prob. 29ECh. 4.5 - Prob. 30ECh. 4.5 - Prob. 31ECh. 4.5 - Prob. 32ECh. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Prob. 36ECh. 4.5 - Prob. 37ECh. 4.5 - Prob. 38ECh. 4.5 - Prob. 39ECh. 4.5 - Sketching the Graph of a Sine or Cosine Function...Ch. 4.5 - Sketching the Graph of a Sine or Cosine Function...Ch. 4.5 - Prob. 42ECh. 4.5 - Sketching the Graph of a Sine or Cosine Function...Ch. 4.5 - Sketching the Graph of a Sine or Cosine Function...Ch. 4.5 - Prob. 45ECh. 4.5 - Prob. 46ECh. 4.5 - Prob. 47ECh. 4.5 - Prob. 48ECh. 4.5 - Prob. 49ECh. 4.5 - Prob. 50ECh. 4.5 - Prob. 51ECh. 4.5 - Prob. 52ECh. 4.5 - Prob. 53ECh. 4.5 - Describing a Transformation In Exercises 5358, g...Ch. 4.5 - Prob. 55ECh. 4.5 - Describing a Transformation In Exercises 5358, g...Ch. 4.5 - Describing a Transformation In Exercises 5358, g...Ch. 4.5 - Prob. 58ECh. 4.5 - Prob. 59ECh. 4.5 - Prob. 60ECh. 4.5 - Prob. 61ECh. 4.5 - Prob. 62ECh. 4.5 - Prob. 63ECh. 4.5 - Prob. 64ECh. 4.5 - Prob. 65ECh. 4.5 - Prob. 66ECh. 4.5 - Graphical Reasoning In Exercises 6568, Find a and...Ch. 4.5 - Prob. 68ECh. 4.5 - Graphical Reasoning In Exercises 6972, find a, b,...Ch. 4.5 - Graphical Reasoning In Exercises 6972, find a, b,...Ch. 4.5 - Graphical Reasoning In Exercises 6972, find a, b,...Ch. 4.5 - Graphical Reasoning In Exercises 6972, find a, b,...Ch. 4.5 - Using Technology In Exercises 73 and 74, use a...Ch. 4.5 - Prob. 74ECh. 4.5 - Prob. 75ECh. 4.5 - Prob. 76ECh. 4.5 - Prob. 77ECh. 4.5 - Prob. 78ECh. 4.5 - Respiratory Cycle For a person exercising, the...Ch. 4.5 - Respiratory Cycle For a person at rest, the...Ch. 4.5 - Prob. 81ECh. 4.5 - Prob. 82ECh. 4.5 - Prob. 83ECh. 4.5 - Meteorology The table shows the maximum daily high...Ch. 4.5 - Prob. 85.1ECh. 4.5 - Prob. 85.2ECh. 4.5 - Prob. 85.3ECh. 4.5 - Prob. 86.1ECh. 4.5 - Prob. 86.2ECh. 4.5 - Fuel Consumption The daily consumption C in...Ch. 4.5 - Prob. 87ECh. 4.5 - Prob. 88ECh. 4.5 - Prob. 89ECh. 4.5 - Prob. 90ECh. 4.5 - Prob. 91ECh. 4.5 - Prob. 92ECh. 4.5 - Prob. 93ECh. 4.5 - Prob. 94ECh. 4.5 - Prob. 95ECh. 4.6 - Sketch the graph of y=tanx4.Ch. 4.6 - Prob. 2CPCh. 4.6 - Prob. 3CPCh. 4.6 - Prob. 4CPCh. 4.6 - Prob. 5CPCh. 4.6 - Prob. 6CPCh. 4.6 - Fill in the blanks. The tangent, cotangent, and...Ch. 4.6 - Prob. 2ECh. 4.6 - Prob. 3ECh. 4.6 - Prob. 4ECh. 4.6 - Prob. 5ECh. 4.6 - Prob. 6ECh. 4.6 - Prob. 7ECh. 4.6 - Prob. 8ECh. 4.6 - Matching In Exercises 914, match the function with...Ch. 4.6 - Prob. 10ECh. 4.6 - Matching In Exercises 914, match the function with...Ch. 4.6 - Prob. 12ECh. 4.6 - Prob. 13ECh. 4.6 - Prob. 14ECh. 4.6 - Prob. 15ECh. 4.6 - Prob. 16ECh. 4.6 - Prob. 17ECh. 4.6 - Sketching the Graph of a Trigonometric Function In...Ch. 4.6 - Sketching the Graph of a Trigonometric Function In...Ch. 4.6 - Sketching the Graph of a Trigonometric Function In...Ch. 4.6 - Prob. 21ECh. 4.6 - Prob. 22ECh. 4.6 - Prob. 23ECh. 4.6 - Sketching the Graph of a Trigonometric Function In...Ch. 4.6 - Prob. 25ECh. 4.6 - Prob. 26ECh. 4.6 - Prob. 27ECh. 4.6 - Prob. 28ECh. 4.6 - Prob. 29ECh. 4.6 - Prob. 30ECh. 4.6 - Sketching the Graph of a Trigonometric Function In...Ch. 4.6 - Prob. 32ECh. 4.6 - Prob. 33ECh. 4.6 - Prob. 34ECh. 4.6 - Prob. 35ECh. 4.6 - Prob. 36ECh. 4.6 - Sketching the Graph of a Trigonometric Function In...Ch. 4.6 - Sketching the Graph of a Trigonometric Function In...Ch. 4.6 - Prob. 39ECh. 4.6 - Prob. 40ECh. 4.6 - Graphing a Trigonometric Function In Exercises...Ch. 4.6 - Prob. 42ECh. 4.6 - Prob. 43ECh. 4.6 - Prob. 44ECh. 4.6 - Prob. 45ECh. 4.6 - Prob. 46ECh. 4.6 - Prob. 47ECh. 4.6 - Prob. 48ECh. 4.6 - Prob. 49ECh. 4.6 - Prob. 50ECh. 4.6 - Prob. 51ECh. 4.6 - Prob. 52ECh. 4.6 - Prob. 53ECh. 4.6 - Prob. 54ECh. 4.6 - Prob. 55ECh. 4.6 - Prob. 56ECh. 4.6 - Even and Odd Trigonometric Functions In Exercises...Ch. 4.6 - Prob. 58ECh. 4.6 - Prob. 59ECh. 4.6 - Prob. 60ECh. 4.6 - Prob. 61ECh. 4.6 - Even and Odd Trigonometric Functions In Exercises...Ch. 4.6 - Prob. 63ECh. 4.6 - Prob. 64ECh. 4.6 - Identifying Damped Trigonometric Functions In...Ch. 4.6 - Identifying Damped Trigonometric Functions In...Ch. 4.6 - Identifying Damped Trigonometric Functions In...Ch. 4.6 - Identifying Damped Trigonometric Functions In...Ch. 4.6 - Prob. 69ECh. 4.6 - Prob. 70ECh. 4.6 - Prob. 71ECh. 4.6 - Prob. 72ECh. 4.6 - Analyzing a Damped Trigonometric Graph In...Ch. 4.6 - Analyzing a Damped Trigonometric Graph 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 - Prob. 82ECh. 4.6 - Prob. 83ECh. 4.6 - Sales The projected monthly sales S in thousands...Ch. 4.6 - Television Coverage A television camera is on a...Ch. 4.6 - Distance A plane flying at an altitude of 7 miles...Ch. 4.6 - Prob. 87ECh. 4.6 - Prob. 88ECh. 4.6 - Prob. 89ECh. 4.6 - Prob. 90ECh. 4.6 - Prob. 91ECh. 4.6 - Prob. 92ECh. 4.6 - Prob. 93ECh. 4.6 - Prob. 94ECh. 4.7 - If possible, find the exact value of each...Ch. 4.7 - Prob. 2CPCh. 4.7 - Prob. 3CPCh. 4.7 - Prob. 4CPCh. 4.7 - Prob. 5CPCh. 4.7 - Prob. 6CPCh. 4.7 - Write an algebraic expression that is equivalent...Ch. 4.7 - Prob. 1ECh. 4.7 - Prob. 2ECh. 4.7 - Prob. 3ECh. 4.7 - Prob. 4ECh. 4.7 - Evaluating an Inverse Trigonometric Function In...Ch. 4.7 - Prob. 6ECh. 4.7 - Evaluating an Inverse Trigonometric Function In...Ch. 4.7 - Prob. 8ECh. 4.7 - Evaluating an Inverse Trigonometric Function In...Ch. 4.7 - Prob. 10ECh. 4.7 - Prob. 11ECh. 4.7 - Prob. 12ECh. 4.7 - Prob. 13ECh. 4.7 - Prob. 14ECh. 4.7 - Prob. 15ECh. 4.7 - Prob. 16ECh. 4.7 - Prob. 17ECh. 4.7 - Evaluating an Inverse Trigonometric Function In...Ch. 4.7 - Prob. 19ECh. 4.7 - Prob. 20ECh. 4.7 - Calculations and Inverse Trigonometric Functions...Ch. 4.7 - Prob. 22ECh. 4.7 - Prob. 23ECh. 4.7 - Prob. 24ECh. 4.7 - Prob. 25ECh. 4.7 - Prob. 26ECh. 4.7 - Prob. 27ECh. 4.7 - Prob. 28ECh. 4.7 - Prob. 29ECh. 4.7 - Calculators and Inverse Trigonometric Functions In...Ch. 4.7 - Prob. 31ECh. 4.7 - Prob. 32ECh. 4.7 - Prob. 33ECh. 4.7 - Prob. 34ECh. 4.7 - Prob. 35ECh. 4.7 - Calculations and Inverse Trigonometric Functions...Ch. 4.7 - Finding Missing Coordinates In Exercises 37 and...Ch. 4.7 - Finding Missing Coordinates In Exercises 37 and...Ch. 4.7 - Using an Inverse Trigonometric Function In...Ch. 4.7 - Using an Inverse Trigonometric Function In...Ch. 4.7 - Using an Inverse Trigonometric Function In...Ch. 4.7 - Using an Inverse Trigonometric Function In...Ch. 4.7 - Using an Inverse Trigonometric Function In...Ch. 4.7 - Prob. 44ECh. 4.7 - Prob. 45ECh. 4.7 - Prob. 46ECh. 4.7 - Using Inverse Properties In Exercises 4550, find...Ch. 4.7 - Using Inverse Properties In Exercises 4550, find...Ch. 4.7 - Using Inverse Properties In Exercises 4550, find...Ch. 4.7 - Using Inverse Properties In Exercises 4550, find...Ch. 4.7 - Evaluating a Composition of Functions In Exercises...Ch. 4.7 - Evaluating a Composition of Functions In Exercises...Ch. 4.7 - Prob. 53ECh. 4.7 - Prob. 54ECh. 4.7 - Evaluating a Composition of Functions In Exercises...Ch. 4.7 - Prob. 56ECh. 4.7 - Prob. 57ECh. 4.7 - Prob. 58ECh. 4.7 - Evaluating a Composition of Functions In Exercises...Ch. 4.7 - Prob. 60ECh. 4.7 - Prob. 61ECh. 4.7 - Prob. 62ECh. 4.7 - Writing an Expression In Exercises 6372, write an...Ch. 4.7 - Prob. 64ECh. 4.7 - Writing an Expression In Exercises 6372, write an...Ch. 4.7 - Prob. 66ECh. 4.7 - Writing an Expression In Exercises 6372, write an...Ch. 4.7 - Writing an Expression In Exercises 6372, write an...Ch. 4.7 - Prob. 69ECh. 4.7 - Prob. 70ECh. 4.7 - Prob. 71ECh. 4.7 - Prob. 72ECh. 4.7 - Prob. 73ECh. 4.7 - Using Technology In Exercises 73 and 74, use a...Ch. 4.7 - Prob. 75ECh. 4.7 - Prob. 76ECh. 4.7 - Prob. 77ECh. 4.7 - Completing an Equation In Exercises 7578, complete...Ch. 4.7 - Prob. 79ECh. 4.7 - Prob. 80ECh. 4.7 - Prob. 81ECh. 4.7 - Prob. 82ECh. 4.7 - Prob. 83ECh. 4.7 - Prob. 84ECh. 4.7 - Prob. 85ECh. 4.7 - Prob. 86ECh. 4.7 - Prob. 87ECh. 4.7 - Prob. 88ECh. 4.7 - Prob. 89ECh. 4.7 - Prob. 90ECh. 4.7 - Prob. 91ECh. 4.7 - Prob. 92ECh. 4.7 - Prob. 93ECh. 4.7 - Prob. 94ECh. 4.7 - Prob. 95ECh. 4.7 - Prob. 96ECh. 4.7 - Prob. 97ECh. 4.7 - Behavior of an Inverse Trigonometric Function In...Ch. 4.7 - Docking a Boat A boat is pulled in by means of a...Ch. 4.7 - Prob. 100ECh. 4.7 - Granular Angle of Repose Different types of...Ch. 4.7 - Prob. 102ECh. 4.7 - Prob. 103ECh. 4.7 - Prob. 104ECh. 4.7 - Prob. 105ECh. 4.7 - Prob. 106ECh. 4.7 - Prob. 107ECh. 4.7 - Prob. 108ECh. 4.7 - Prob. 109ECh. 4.7 - Prob. 110ECh. 4.7 - Prob. 111ECh. 4.7 - Prob. 112ECh. 4.7 - Prob. 113ECh. 4.7 - Prob. 114ECh. 4.7 - Prob. 115ECh. 4.7 - Prob. 116ECh. 4.7 - Prob. 117ECh. 4.7 - Evaluating an Inverse Trigonometric Function In...Ch. 4.7 - Prob. 119ECh. 4.7 - Prob. 120ECh. 4.7 - Calculators and Inverse Trigonometric Functions In...Ch. 4.7 - Prob. 122ECh. 4.7 - Prob. 123ECh. 4.7 - Prob. 124ECh. 4.7 - Prob. 125ECh. 4.7 - Prob. 126ECh. 4.7 - Prob. 127ECh. 4.7 - Prob. 128ECh. 4.7 - Prob. 129ECh. 4.7 - Prob. 130ECh. 4.8 - Solve the right triangle shown at the right for...Ch. 4.8 - A ladder that is 16 feet long leans against the...Ch. 4.8 - Prob. 3CPCh. 4.8 - Prob. 4CPCh. 4.8 - Prob. 5CPCh. 4.8 - Prob. 6CPCh. 4.8 - Prob. 7CPCh. 4.8 - Prob. 1ECh. 4.8 - Prob. 2ECh. 4.8 - Prob. 3ECh. 4.8 - Prob. 4ECh. 4.8 - Prob. 5ECh. 4.8 - Prob. 6ECh. 4.8 - Prob. 7ECh. 4.8 - Prob. 8ECh. 4.8 - Prob. 9ECh. 4.8 - Prob. 10ECh. 4.8 - Prob. 11ECh. 4.8 - Prob. 12ECh. 4.8 - Prob. 13ECh. 4.8 - Prob. 14ECh. 4.8 - Prob. 15ECh. 4.8 - Finding an Altitude In Exercises 1316, find the...Ch. 4.8 - Prob. 17ECh. 4.8 - Prob. 18ECh. 4.8 - Prob. 19ECh. 4.8 - Height The length of a shadow of a tree is 125...Ch. 4.8 - Prob. 21ECh. 4.8 - Distance An observer in a lighthouse 350 feet...Ch. 4.8 - Distance A passenger in an airplane at an altitude...Ch. 4.8 - Prob. 24ECh. 4.8 - Angle of Elevation An engineer designs a 75-foot...Ch. 4.8 - Angle of Depression A cellular telephone tower...Ch. 4.8 - Angle of Depression A Global Positioning System...Ch. 4.8 - Height You are holding one of the tethers attached...Ch. 4.8 - Prob. 29ECh. 4.8 - Prob. 30ECh. 4.8 - Prob. 31ECh. 4.8 - Prob. 32ECh. 4.8 - Prob. 33ECh. 4.8 - Prob. 34ECh. 4.8 - Navigation A ship leaves port at noon and has a...Ch. 4.8 - Prob. 36ECh. 4.8 - Prob. 37ECh. 4.8 - Prob. 38ECh. 4.8 - Surveying A surveyor wants to find the distance...Ch. 4.8 - Prob. 40ECh. 4.8 - Prob. 41ECh. 4.8 - Prob. 42ECh. 4.8 - Geometry Find the length of the sides of a regular...Ch. 4.8 - Geometry Find the length of the sides of a regular...Ch. 4.8 - Prob. 45ECh. 4.8 - Prob. 46ECh. 4.8 - Prob. 47ECh. 4.8 - Prob. 48ECh. 4.8 - Prob. 49ECh. 4.8 - Prob. 50ECh. 4.8 - Prob. 51ECh. 4.8 - Prob. 52ECh. 4.8 - Prob. 53ECh. 4.8 - Prob. 54ECh. 4.8 - Prob. 55ECh. 4.8 - Hours of Daylight The numbers of hours H of...Ch. 4.8 - Sales The table shows the average sales S in...Ch. 4.8 - Prob. 58ECh. 4.8 - Prob. 59ECh. 4.8 - Prob. 60ECh. 4.CR - 4.1 Using Radian or Degree Measure In Exercises...Ch. 4.CR - Prob. 2CRCh. 4.CR - Prob. 3CRCh. 4.CR - 4.1 Using Radian or Degree Measure In Exercises...Ch. 4.CR - Prob. 5CRCh. 4.CR - Prob. 6CRCh. 4.CR - Prob. 7CRCh. 4.CR - Prob. 8CRCh. 4.CR - Prob. 9CRCh. 4.CR - Prob. 10CRCh. 4.CR - Prob. 11CRCh. 4.CR - Prob. 12CRCh. 4.CR - Prob. 13CRCh. 4.CR - Prob. 14CRCh. 4.CR - Prob. 15CRCh. 4.CR - Prob. 16CRCh. 4.CR - Prob. 17CRCh. 4.CR - Prob. 18CRCh. 4.CR - Prob. 19CRCh. 4.CR - Prob. 20CRCh. 4.CR - Prob. 21CRCh. 4.CR - Prob. 22CRCh. 4.CR - Prob. 23CRCh. 4.CR - Prob. 24CRCh. 4.CR - Prob. 25CRCh. 4.CR - Using Period to Evaluate Sine Cosine In Exercises...Ch. 4.CR - Prob. 27CRCh. 4.CR - Using Period to Evaluate Sine Cosine In Exercises...Ch. 4.CR - Prob. 29CRCh. 4.CR - Prob. 30CRCh. 4.CR - Prob. 31CRCh. 4.CR - Prob. 32CRCh. 4.CR - 4.3 Evaluating Trigonometric Functions In...Ch. 4.CR - Prob. 34CRCh. 4.CR - Prob. 35CRCh. 4.CR - Prob. 36CRCh. 4.CR - Prob. 37CRCh. 4.CR - Prob. 38CRCh. 4.CR - Prob. 39CRCh. 4.CR - Prob. 40CRCh. 4.CR - Railroad Grade A train travels 3.5 kilometers on a...Ch. 4.CR - Prob. 42CRCh. 4.CR - Prob. 43CRCh. 4.CR - Prob. 44CRCh. 4.CR - Prob. 45CRCh. 4.CR - Prob. 46CRCh. 4.CR - Prob. 47CRCh. 4.CR - Prob. 48CRCh. 4.CR - Prob. 49CRCh. 4.CR - Prob. 50CRCh. 4.CR - Prob. 51CRCh. 4.CR - Prob. 52CRCh. 4.CR - Prob. 53CRCh. 4.CR - Prob. 54CRCh. 4.CR - Prob. 55CRCh. 4.CR - Prob. 56CRCh. 4.CR - Prob. 57CRCh. 4.CR - Prob. 58CRCh. 4.CR - Prob. 59CRCh. 4.CR - Prob. 60CRCh. 4.CR - Prob. 61CRCh. 4.CR - Prob. 62CRCh. 4.CR - Prob. 63CRCh. 4.CR - Prob. 64CRCh. 4.CR - Prob. 65CRCh. 4.CR - Prob. 66CRCh. 4.CR - Prob. 67CRCh. 4.CR - Prob. 68CRCh. 4.CR - Prob. 69CRCh. 4.CR - Prob. 70CRCh. 4.CR - Prob. 71CRCh. 4.CR - Prob. 72CRCh. 4.CR - Prob. 73CRCh. 4.CR - Prob. 74CRCh. 4.CR - Prob. 75CRCh. 4.CR - Prob. 76CRCh. 4.CR - Prob. 77CRCh. 4.CR - Prob. 78CRCh. 4.CR - Prob. 79CRCh. 4.CR - Prob. 80CRCh. 4.CR - Prob. 81CRCh. 4.CR - Prob. 82CRCh. 4.CR - Prob. 83CRCh. 4.CR - Prob. 84CRCh. 4.CR - Prob. 85CRCh. 4.CR - Prob. 86CRCh. 4.CR - Prob. 87CRCh. 4.CR - Prob. 88CRCh. 4.CR - Evaluating a Composition of Functions In Exercises...Ch. 4.CR - Prob. 90CRCh. 4.CR - Prob. 91CRCh. 4.CR - Prob. 92CRCh. 4.CR - Prob. 93CRCh. 4.CR - Prob. 94CRCh. 4.CR - Prob. 95CRCh. 4.CR - Prob. 96CRCh. 4.CR - Prob. 97CRCh. 4.CR - Prob. 98CRCh. 4.CR - Prob. 99CRCh. 4.CR - Prob. 100CRCh. 4.CR - Prob. 101CRCh. 4.CR - Prob. 102CRCh. 4.CT - Consider an angle that measures 54 radians. a...Ch. 4.CT - Prob. 2CTCh. 4.CT - A water sprinkler sprays water on a lawn over a...Ch. 4.CT - Prob. 4CTCh. 4.CT - Prob. 5CTCh. 4.CT - Prob. 6CTCh. 4.CT - Prob. 7CTCh. 4.CT - Prob. 8CTCh. 4.CT - Prob. 9CTCh. 4.CT - Prob. 10CTCh. 4.CT - Prob. 11CTCh. 4.CT - Prob. 12CTCh. 4.CT - Prob. 13CTCh. 4.CT - Prob. 14CTCh. 4.CT - In Exercises 14 and 15, use a graphing utility to...Ch. 4.CT - Prob. 16CTCh. 4.CT - Prob. 17CTCh. 4.CT - Prob. 18CTCh. 4.CT - An airplane is 90 miles south and 110 miles east...Ch. 4.CT - Prob. 20CTCh. 4.PS - Angle of Rotation The restaurant at the top of the...Ch. 4.PS - Bicycle Gears A bicycles gear ratio is the number...Ch. 4.PS - Height of a Ferris Wheel Car A model for the...Ch. 4.PS - Periodic Function The function f is periodic, with...Ch. 4.PS - Surveying A surveyor in a helicopter is...Ch. 4.PS - Prob. 6PSCh. 4.PS - Prob. 7PSCh. 4.PS - Prob. 8PSCh. 4.PS - Prob. 9PSCh. 4.PS - Biorhythms A popular theory that attempts to...Ch. 4.PS - Prob. 11PSCh. 4.PS - Prob. 12PSCh. 4.PS - Prob. 13PSCh. 4.PS - Prob. 14PS
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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