Precalculus (MindTap Course List)
Precalculus (MindTap Course List)
10th Edition
ISBN: 9781337271073
Author: Ron Larson
Publisher: Cengage Learning
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Concept explainers

Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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Chapter 4.PS, Problem 2PS

Bicycle Gears A bicycle's gear ratio is the number of times the freewheel turns for every one turn of the chainwheel (see figure). The table shows the numbers of teeth in the freewheel and chainwheel for the first five gears of an 18-speed touring bicycle. The chainwheel completes one rotation for each gear. Find the angle through which the freewheel turns for each gear. Give you answers in both degrees and radians.

Gear number Number of teeth in freewheel Number of teeth in chain wheel
1 32 24
2 26 24
3 22 24
4 32 40
5 19 24

Chapter 4.PS, Problem 2PS, Bicycle Gears A bicycles gear ratio is the number of times the freewheel turns for every one turn of

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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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