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1-4 Modeling Periodic Data A set of data is given. (a) Make a scatter plot of the data. (b) Find a cosine function of the form y = a cos ⁡ ω t - c + b that models the data, as in Example 1. (c) Graph the function you found in part (b) together with the scatter plot. How well does the curve fit the data? (d) Use a graphing calculator to find the sine function that best fits the data, as in Example 2. (e) Compare the functions you found in parts (b) and (d). [Use the reduction formula sin ⁡ u = cos ⁡ ( u - π / 2 ) . ] t y 0 2.1 2 1.1 4 - 0.8 6 - 2.1 8 - 1.3 10 0.6 12 1.9 14 1.5

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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
Publisher: Cengage Learning
ISBN: 9781305071742
BuyFind

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
Publisher: Cengage Learning
ISBN: 9781305071742

Solutions

Chapter
Section
Chapter 6.FOM, Problem 1P
Textbook Problem

1-4 Modeling Periodic Data A set of data is given.

(a) Make a scatter plot of the data.

(b) Find a cosine function of the form y = a cos ω t - c + b that models the data, as in Example 1.

(c) Graph the function you found in part (b) together with the scatter plot. How well does the curve fit the data?

(d) Use a graphing calculator to find the sine function that best fits the data, as in Example 2.

(e) Compare the functions you found in parts (b) and (d). [Use the reduction formula sin u = cos ( u - π / 2 ) . ]

t y
0 2.1
2 1.1
4 - 0.8
6 - 2.1
8 - 1.3
10 0.6
12 1.9
14 1.5

Expert Solution
To determine

(a)

To find:

A scatter plot of the data.

Answer to Problem 1P

Solution:

Algebra and Trigonometry (MindTap Course List), Chapter 6.FOM, Problem 1P , additional homework tip  1

Explanation of Solution

Calculation:

The scatter plot for the given data is given by

Algebra and Trigonometry (MindTap Course List), Chapter 6.FOM, Problem 1P , additional homework tip  2

Final statement:

Algebra and Trigonometry (MindTap Course List), Chapter 6.FOM, Problem 1P , additional homework tip  3

Expert Solution
To determine

(b)

To find:

A cosine function of the form y=acosωt-c+b that models the data.

Answer to Problem 1P

Solution:

y=2.1cos0.52t.

Explanation of Solution

Calculation:

Here, the maximum value is 2.1 and the minimum value is -2.1.

The maximum value occurs at time 0 and the minimum value occurs at time 6.

The vertical shift b is the average of the maximum and minimum values.

b= vertical shift

b=12×( maximum value + minimum value)

b=122.1+-2.1

b=122.1-2.1

b=0.

The amplitude a is half of the difference between the maximum and minimum values.

a= amplitude

a=12×( maximum value - minimum value)

a=122.1--2.1

a=122.1+2.1

a=124.2

a=2.1.

The time between consecutive maximum and minimum values is half of one period.

That is, 2πω= period.

2πω=2×( time of maximum value - time of minimum value)

2πω=20-6

2πω=-12

ω=2π-12

ω=-π6.

Since the maximum value of the data occurs at t=0, it represents a cosine curve.

There is no horizontal shift.

c=0.

Apply the values in the function y=acosωt-c+b.

y=2.1cos-π6t-0+0

y=2.1cos-π6t

Since cosine is an even function, y=2.1cosπ6t.

y=2.1cos0.52t.

Final statement:

y=2.1cos0.52t.

Expert Solution
To determine

(c)

To find:

The graph of the function from part (b).

Answer to Problem 1P

Solution:

Algebra and Trigonometry (MindTap Course List), Chapter 6.FOM, Problem 1P , additional homework tip  4

Explanation of Solution

Calculation:

The graph of the function y=2.1cos0.52t is given by

Algebra and Trigonometry (MindTap Course List), Chapter 6.FOM, Problem 1P , additional homework tip  5

Final statement:

Algebra and Trigonometry (MindTap Course List), Chapter 6.FOM, Problem 1P , additional homework tip  6

Expert Solution
To determine

(d)

To find:

The sine function that fits the data.

Answer to Problem 1P

Solution:

y=2.05sin0.50t+1.55-0.01.

Explanation of Solution

Calculation:

Using the given data and the SinReg command on the T1-83 calculator, we get a function of the form y=asinbt+c+d.

Here, a=2.0487.2.05

b=0.5030790.50

c=1.551851.55

d=-0.008961-0.01

Apply the values in the function y=asinbt+c+d.

y=2.05sin0.50t+1.55-0.01.

Final statement:

y=2.05sin0.50t+1.55-0.01.

Expert Solution
To determine

(e)

To find:

The comparison between the functions from part (b) and (d).

Answer to Problem 1P

Solution:

y=2.05cos0.50t-0.02-0.01.

It is same as (b), corrected to one decimal.

Explanation of Solution

Calculation:

From part (d), y=2.05sin0.50t+1.55-0.01.

Apply the reduction formula sinx=cosx-π2.

So, y=2.05cos0.50t+1.55-π2-0.01

y=2.05cos0.50t+1.55-1.57-0.01

y=2.05cos0.50t-0.02-0.01.

It is same as (b), corrected to one decimal.

Final statement:

y=2.05cos0.50t-0.02-0.01.

It is same as (b), corrected to one decimal.

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Chapter 6 Solutions

Algebra and Trigonometry (MindTap Course List)
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Ch. 6.1 - 9 14. Points on the Unit Circle. Find the missing...Ch. 6.1 - 9 14. Points on the Unit Circle. Find the missing...Ch. 6.1 - 9 14. Points on the Unit Circle. Find the missing...Ch. 6.1 - 9 14. Points on the Unit Circle. Find the missing...Ch. 6.1 - 15 20. Points on the Unit Circle The point P is...Ch. 6.1 - 15 20. Points on the Unit Circle The point P is...Ch. 6.1 - 15 20. Points on the Unit Circle The point P is...Ch. 6.1 - 15 20. Points on the Unit Circle The point P is...Ch. 6.1 - 15 20. Points on the Unit Circle The point P is...Ch. 6.1 - 15 20. 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77-80 Solving Trigonometric Equations Graphically...Ch. 6.3 - 77-80 Solving Trigonometric Equations Graphically...Ch. 6.3 - 77-80 Solving Trigonometric Equations Graphically...Ch. 6.3 - 77-80 Solving Trigonometric Equations Graphically...Ch. 6.3 - 81-82 Limiting Behavior of Trigonometric Functions...Ch. 6.3 - 81-82 Limiting Behavior of Trigonometric Functions...Ch. 6.3 - Height of a Wave As a wave passes by an offshore...Ch. 6.3 - Sound Vibrations A tuning fork is struck,...Ch. 6.3 - Blood Pressure Each time your heart beats, your...Ch. 6.3 - Variable Stars Variable stars are once whose...Ch. 6.3 - DISCUSS: Compositions Involving Trigonometric...Ch. 6.3 - DISCUSS: Periodic Functions I Recall that a...Ch. 6.3 - DISCUSS: Periodic Function II Use a graphing...Ch. 6.3 - DISCUSS: Sinusoidal Curves The graph of y=sinx is...Ch. 6.4 - The trigonometry function y=tanx has period...Ch. 6.4 - The trigonometry function y=cscx has period...Ch. 6.4 - 38 Graph of Trigonometric Functions Match the...Ch. 6.4 - 38 Graph of Trigonometric Functions Match the...Ch. 6.4 - 38 Graph of Trigonometric Functions Match the...Ch. 6.4 - 38 Graph of Trigonometric Functions Match the...Ch. 6.4 - 38 Graph of Trigonometric Functions Match the...Ch. 6.4 - 38 Graph of Trigonometric Functions Match the...Ch. 6.4 - 9-18 Graph of Trigonometry Functions Find the...Ch. 6.4 - 9-18 Graph of Trigonometry Functions Find the...Ch. 6.4 - 9-18 Graph of Trigonometry Functions Find the...Ch. 6.4 - 9-18 Graph of Trigonometry Functions Find the...Ch. 6.4 - 9-18 Graph of Trigonometry Functions Find the...Ch. 6.4 - 9-18 Graph of Trigonometry Functions Find the...Ch. 6.4 - 9-18 Graph of Trigonometry Functions Find the...Ch. 6.4 - 9-18 Graph of Trigonometry Functions Find the...Ch. 6.4 - 9-18 Graph of Trigonometry Functions Find the...Ch. 6.4 - 9-18 Graph of Trigonometry Functions Find the...Ch. 6.4 - 19-34 Graph of Trigonometric Functions with...Ch. 6.4 - 19-34 Graph of Trigonometric Functions with...Ch. 6.4 - 19-34 Graph of Trigonometric Functions with...Ch. 6.4 - 19-34 Graph of Trigonometric Functions with...Ch. 6.4 - 19-34 Graph of Trigonometric Functions with...Ch. 6.4 - 19-34 Graph of Trigonometric Functions with...Ch. 6.4 - 19-34 Graph of Trigonometric Functions with...Ch. 6.4 - 19-34 Graph of Trigonometric Functions with...Ch. 6.4 - 19-34 Graph of Trigonometric Functions with...Ch. 6.4 - 19-34 Graph of Trigonometric Functions with...Ch. 6.4 - 19-34 Graph of Trigonometric Functions with...Ch. 6.4 - 19-34 Graph of Trigonometric Functions with...Ch. 6.4 - 19-34 Graph of Trigonometric Functions with...Ch. 6.4 - 19-34 Graph of Trigonometric Functions with...Ch. 6.4 - 19-34 Graph of Trigonometric Functions with...Ch. 6.4 - 19-34 Graph of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - 35-60 Graphs of Trigonometric Functions with...Ch. 6.4 - Lighthouse The beam from a lighthouse completes...Ch. 6.4 - Length of a Shadow On a day when the sun passes...Ch. 6.4 - PROVE: Periodic Functions a Prove that if f is...Ch. 6.4 - PROVE: Periodic Functions Prove that if f and g...Ch. 6.4 - PROVE: Reduction Formulas Use the graphs in Figure...Ch. 6.5 - CONCEPTS a To define the inverse sine function, we...Ch. 6.5 - CONCEPTS The cancellation property sin1(sinx)=x is...Ch. 6.5 - SKILLS 3-10. 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Inverse Trigonometric Functions with a...Ch. 6.5 - 11-22. Inverse Trigonometric Functions with a...Ch. 6.5 - 11-22. Inverse Trigonometric Functions with a...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48 Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 23-48. Simplifying Expressions Involving...Ch. 6.5 - 49-50 PROVE: Identities Involving Inverse...Ch. 6.5 - 49-50 PROVE: Identities Involving Inverse...Ch. 6.5 - DISCUSS: Two Different Compositions Let f and g be...Ch. 6.6 - CONCEPTS For an object in simple harmonic motion...Ch. 6.6 - CONCEPTS For an object in damped harmonic motion...Ch. 6.6 - CONCEPTS a For an object in harmonic motion...Ch. 6.6 - CONCEPTS Objects A and B are in harmonic motion...Ch. 6.6 - SKILLS 5-12. Simple Harmonic Motion The given...Ch. 6.6 - SKILLS 5-12. Simple Harmonic Motion The given...Ch. 6.6 - SKILLS 5-12. Simple Harmonic Motion The given...Ch. 6.6 - SKILLS 5-12. Simple Harmonic Motion The given...Ch. 6.6 - SKILLS 5-12. Simple Harmonic Motion The given...Ch. 6.6 - SKILLS 5-12. Simple Harmonic Motion The given...Ch. 6.6 - SKILLS 5-12. Simple Harmonic Motion The given...Ch. 6.6 - SKILLS 5-12. Simple Harmonic Motion The given...Ch. 6.6 - SKILLS 13-16. Simple Harmonic Motion Find a...Ch. 6.6 - SKILLS 13-16. Simple Harmonic Motion Find a...Ch. 6.6 - SKILLS 13-16. Simple Harmonic Motion Find a...Ch. 6.6 - SKILLS 13-16. Simple Harmonic Motion Find a...Ch. 6.6 - SKILLS 17-20. Simple Harmonic Motion Find a...Ch. 6.6 - SKILLS 17-20. Simple Harmonic Motion Find a...Ch. 6.6 - SKILLS 17-20. Simple Harmonic Motion Find a...Ch. 6.6 - SKILLS 17-20. Simple Harmonic Motion Find a...Ch. 6.6 - SKILLS 21-28. Damped Harmonic Motion An initial...Ch. 6.6 - SKILLS 21-28. Damped Harmonic Motion An initial...Ch. 6.6 - SKILLS 21-28. Damped Harmonic Motion An initial...Ch. 6.6 - SKILLS 21-28. Damped Harmonic Motion An initial...Ch. 6.6 - SKILLS 21-28. Damped Harmonic Motion An initial...Ch. 6.6 - SKILLS 21-28. Damped Harmonic Motion An initial...Ch. 6.6 - SKILLS 21-28. Damped Harmonic Motion An initial...Ch. 6.6 - SKILLS 21-28. Damped Harmonic Motion An initial...Ch. 6.6 - SKILLS 24-34. Amplitude, Period, Phase and...Ch. 6.6 - SKILLS 24-34. Amplitude, Period, Phase and...Ch. 6.6 - SKILLS 24-34. Amplitude, Period, Phase and...Ch. 6.6 - SKILLS 24-34. Amplitude, Period, Phase and...Ch. 6.6 - SKILLS 24-34. Amplitude, Period, Phase and...Ch. 6.6 - SKILLS 24-34. Amplitude, Period, Phase and...Ch. 6.6 - SKILLS 35-38. Phase and Phase Difference A pair of...Ch. 6.6 - SKILLS 35-38. Phase and Phase Difference A pair of...Ch. 6.6 - SKILLS 35-38. Phase and Phase Difference A pair of...Ch. 6.6 - SKILLS 35-38. Phase and Phase Difference A pair of...Ch. 6.6 - APPLICATIONS A Bobbing Cork A cork floating in a...Ch. 6.6 - APPLICATIONS FM Radio Signals The carrier wave for...Ch. 6.6 - Blood Pressure Each time your heart beats, your...Ch. 6.6 - Predator Population Model In a predator/prey...Ch. 6.6 - Mass-Spring System A mass attached to a spring is...Ch. 6.6 - Tides The graph shows the variation of the water...Ch. 6.6 - APPLICATIONS Tides The Bay of Fundy in Nova Scotia...Ch. 6.6 - APPLICATIONS Mass-Spring System A mass suspended...Ch. 6.6 - APPLICATIONS Mass-Spring System A mass suspended...Ch. 6.6 - APPLICATIONS Mass-Spring System The frequency of...Ch. 6.6 - APPLICATIONS Ferris Wheel A Ferris wheel has a...Ch. 6.6 - APPLICATIONS Clock Pendulum The pendulum in a...Ch. 6.6 - APPLICATIONS Variable Stars The variable star Zeta...Ch. 6.6 - APPLICATIONS Variable Stars Astronomers believe...Ch. 6.6 - APPLICATIONS Biological Clocks Circadian rhythms...Ch. 6.6 - APPLICATIONS Electric Generator The armature in...Ch. 6.6 - APPLICATIONS Electric Generator The graph shows an...Ch. 6.6 - APPLICATIONS Doppler Effect When a car with its...Ch. 6.6 - APPLICATIONS Motion of a Building A strong gust of...Ch. 6.6 - APPLICATIONS Shock Absorber When a car hits a...Ch. 6.6 - APPLICATIONS Tuning Fork A tuning fork is struck...Ch. 6.6 - APPLICATIONS Guitar String A guitar string is...Ch. 6.6 - APPLICATIONS Two Fans Electric fans A and B have...Ch. 6.6 - APPLICATIONS Alternating Current Alternating...Ch. 6.6 - DISCUSS Phase of Sine The phase of a sine curve...Ch. 6.6 - DISCUSS Phases of the Moon During the course of a...Ch. 6.CR - aWhat is the unit circle, and what is the equation...Ch. 6.CR - Let t be a real number, and let Px,y be the...Ch. 6.CR - a Describe the steps we use to find the value of a...Ch. 6.CR - a What is a periodic function? b What are the...Ch. 6.CR - a What is an even function, and what is an odd...Ch. 6.CR - a State the reciprocal identities. b State the...Ch. 6.CR - a Graph the sine and cosine functions. b What are...Ch. 6.CR - a Graph the tangent and cotangent functions. b For...Ch. 6.CR - a Graph the cosecant and secant functions. b For...Ch. 6.CR - a Define the inverse sine function, the inverse...Ch. 6.CR - a What is simple harmonic motion? b What is damped...Ch. 6.CR - Suppose that an object is in simple harmonic...Ch. 6.CR - Consider the following models of harmonic motion....Ch. 6.CR - 1-2 Terminal Points A point Px,y is given. a Show...Ch. 6.CR - 1-2 Terminal Points A point Px,y is given. a Show...Ch. 6.CR - 3-6 Reference Number and Terminal Point A real...Ch. 6.CR - 3-6 Reference Number and Terminal Point A real...Ch. 6.CR - 3-6 Reference Number and Terminal Point A real...Ch. 6.CR - 3-6 Reference Number and Terminal Point A real...Ch. 6.CR - 7-16 Values of Trigonometric Functions Find the...Ch. 6.CR - 7-16 Values of Trigonometric Functions Find the...Ch. 6.CR - 7-16 Values of Trigonometric Functions Find the...Ch. 6.CR - 7-16 Values of Trigonometric Functions Find the...Ch. 6.CR - 7-16 Values of Trigonometric Functions Find the...Ch. 6.CR - 7-16 Values of Trigonometric Functions Find the...Ch. 6.CR - 7-16 Values of Trigonometric Functions Find the...Ch. 6.CR - 7-16 Values of Trigonometric Functions Find the...Ch. 6.CR - 7-16 Values of Trigonometric Functions Find the...Ch. 6.CR - 7-16 Values of Trigonometric Functions Find the...Ch. 6.CR - 17-20 Fundamental Identities Use the fundamental...Ch. 6.CR - 17-20 Fundamental Identities Use the fundamental...Ch. 6.CR - 17-20 Fundamental Identities Use the fundamental...Ch. 6.CR - 17-20 Fundamental Identities Use the fundamental...Ch. 6.CR - 21-24 Values of Trigonometric Functions Find the...Ch. 6.CR - 21-24 Values of Trigonometric Functions Find the...Ch. 6.CR - 21-24 Values of Trigonometric Functions Find the...Ch. 6.CR - 21-24 Values of Trigonometric Functions Find the...Ch. 6.CR - 25-28 Values of Trigonometric Functions Find the...Ch. 6.CR - 25-28 Values of Trigonometric Functions Find the...Ch. 6.CR - 25-28 Values of Trigonometric Functions Find the...Ch. 6.CR - 25-28 Values of Trigonometric Functions Find the...Ch. 6.CR - 29-36 Horizontal Shifts A trigonometric function...Ch. 6.CR - 29-36 Horizontal Shifts A trigonometric function...Ch. 6.CR - 29-36 Horizontal Shifts A trigonometric function...Ch. 6.CR - 29-36 Horizontal Shifts A trigonometric function...Ch. 6.CR - 29-36 Horizontal Shifts A trigonometric function...Ch. 6.CR - 29-36 Horizontal Shifts A trigonometric function...Ch. 6.CR - 29-36 Horizontal Shifts A trigonometric function...Ch. 6.CR - 29-36 Horizontal Shifts A trigonometric function...Ch. 6.CR - 37-40 Functions from a Graph The graph of a...Ch. 6.CR - 37-40 Functions from a Graph The graph of a...Ch. 6.CR - 37-40 Functions from a Graph The graph of a...Ch. 6.CR - 37-40 Functions from a Graph The graph of a...Ch. 6.CR - 41-48 Graphing Trigonometric Functions Find the...Ch. 6.CR - 41-48 Graphing Trigonometric Functions Find the...Ch. 6.CR - 41-48 Graphing Trigonometric Functions Find the...Ch. 6.CR - 41-48 Graphing Trigonometric Functions Find the...Ch. 6.CR - 41-48 Graphing Trigonometric Functions Find the...Ch. 6.CR - 41-48 Graphing Trigonometric Functions Find the...Ch. 6.CR - 41-48 Graphing Trigonometric Functions Find the...Ch. 6.CR - 41-48 Graphing Trigonometric Functions Find the...Ch. 6.CR - 49-52 Evaluating Expressions Involving Inverse...Ch. 6.CR - 49-52 Evaluating Expressions Involving Inverse...Ch. 6.CR - 49-52 Evaluating Expressions Involving Inverse...Ch. 6.CR - 49-52 Evaluating Expressions Involving Inverse...Ch. 6.CR - 53-54 Amplitude, Period, Phase, and Horizontal...Ch. 6.CR - 53-54 Amplitude, Period, Phase, and Horizontal...Ch. 6.CR - 55-56 Phase and Phase Difference A pair of sine...Ch. 6.CR - 55-56 Phase and Phase Difference A pair of sine...Ch. 6.CR - 57-62 Even and Odd Functions A function is given....Ch. 6.CR - 57-62 Even and Odd Functions A function is given....Ch. 6.CR - 57-62 Even and Odd Functions A function is given....Ch. 6.CR - 57-62 Even and Odd Functions A function is given....Ch. 6.CR - 57-62 Even and Odd Functions A function is given....Ch. 6.CR - 57-62 Even and Odd Functions A function is given....Ch. 6.CR - 63-66 Sine and Cosine Curves with Variable...Ch. 6.CR - 63-66 Sine and Cosine Curves with Variable...Ch. 6.CR - 63-66 Sine and Cosine Curves with Variable...Ch. 6.CR - 63-66 Sine and Cosine Curves with Variable...Ch. 6.CR - 67-68 Maxima and Minima Find the maximum and...Ch. 6.CR - 67-68 Maxima and Minima Find the maximum and...Ch. 6.CR - 69-70 Solving Trigonometric Equations Graphically...Ch. 6.CR - 69-70 Solving Trigonometric Equations Graphically...Ch. 6.CR - Discover the Period of a Trigonometric Function...Ch. 6.CR - Simple Harmonic Motion A point P moving in simple...Ch. 6.CR - Simple Harmonic Motion A mass suspended from a...Ch. 6.CR - Damped Harmonic Motion The top floor of a building...Ch. 6.CT - The point P(x,y) is on the unit circle in Quadrant...Ch. 6.CT - The point P in the figure at the left has...Ch. 6.CT - Find the exact value. a sin76Ch. 6.CT - Find the exact value. b cos134Ch. 6.CT - Find the exact value. c tan(53)Ch. 6.CT - Find the exact value. d csc32Ch. 6.CT - Express tant in terms of sint, if the terminal...Ch. 6.CT - If cost=817 and if the terminal point determined...Ch. 6.CT - 6-7. A trigonometric function is given. a Find the...Ch. 6.CT - 6-7. A trigonometric function is given. a Find the...Ch. 6.CT - 8-9. Find the period, and graph the function....Ch. 6.CT - 8-9. Find the period, and graph the function....Ch. 6.CT - Find the exact value of each expression, if it is...Ch. 6.CT - The graph shown at left is one period of a...Ch. 6.CT - The sine curves y1=30sin(6t2) and y2=30sin(6t3)...Ch. 6.CT - Let f(x)=cosx1+x2. a Use a graphing device to...Ch. 6.CT - A mass suspended from a spring oscillates in...Ch. 6.CT - An object is moving up and down in damped harmonic...Ch. 6.FOM - 1-4 Modeling Periodic Data A set of data is given....Ch. 6.FOM - 1-4 Modeling Periodic Data A set of data is given....Ch. 6.FOM - 1-4 Modeling Periodic Data A set of data is given....Ch. 6.FOM - 1-4 Modeling Periodic Data A set of data is given....Ch. 6.FOM - Circadian Rhythms Circadian rhythm from the Latin...Ch. 6.FOM - Predator Population When two species interact in a...Ch. 6.FOM - Salmon Survival For reasons that are not yet fully...Ch. 6.FOM - Sunspot Activity Sunspots are relatively cool...

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