MyLab Math with Pearson eText -- 24-Month Standalone Access Card -- for Trigonometry
11th Edition
ISBN: 9780135909140
Author: Lial, Margaret, HORNSBY, John, SCHNEIDER, David, DANIELS, Callie
Publisher: PEARSON
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Textbook Question
Chapter 6.1, Problem 67E
Use a calculator to approximate each real number value. (Be sure the calculator is in radian mode.) See Example 4.
y = sec–1(–1.2871684)
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Complete the following table using a scientific calculator or Microsoft Excel sheet. Make sure that your calculator is in radian mode.
x values
f(x)=tan(x)/x (Round the answer up to 9 decimal places). Calculator in radian mode.
1.0
0.5
0.3
0.1
0.01
0.001
0.0001
II. After completing the table, please answer the questions given below.
Discuss the behavior of the function f(x)=tan(x)/x as x approaches zero from the left. Please, explain your answer.
Discuss the behavior of the function f(x)=tan(x)/x as x approaches zero from the right. Please explain your answer.
What can you conclude about the behavior of the function f(x)=tan(x)/x as x approaches zero. Explain your answer
In whoville, the amount of rainfall varies greatly each week and follows a sinusoidal pattern. The following data is the recorded millimeters (mm) of precipitation across 14 weeks. Determine a sine and a cosine function that approximates the amount of rainfall over time in weeks. Decimals are allowed.
Week 1, rainfall(mm) - 1.4
Week 2, rainfall(mm) - 3.1
Week 3, rainfall(mm) - 4.3
Week 4, rainfall(mm) - 2.9
Week 5, rainfall(mm) - 1.2
Week 6, rainfall(mm) - 0.1
Week 7, rainfall(mm) - 1.3
Week 8, rainfall(mm) - 2.7
Week 9, rainfall(mm) - 4.3
Week 10, rainfall(mm) - 3.2
Week 11, rainfall(mm) - 1.1
Week 12, rainfall(mm) - 0.2
Week 13, rainfall(mm) - 1.2
Week 14, rainfall(mm) - 2.8
Find a calculator approximation of the following. Be sure your calculator is in
radian mode.
cot (-0.1038) -
(Round to four decimal places.)
cot (-0.1038)
Chapter 6 Solutions
MyLab Math with Pearson eText -- 24-Month Standalone Access Card -- for Trigonometry
Ch. 6.1 -
CONCEPT PREVIEW Fill in the blank(s) to...Ch. 6.1 -
CONCEPT PREVIEW Fill in the blank(s) to...Ch. 6.1 -
3. y = cos–1 x means that x = ________ for 0 ≤ y...Ch. 6.1 -
4. The point lies on the graph of y = tan x....Ch. 6.1 -
5. If a function f has an inverse and f(π) = –1,...Ch. 6.1 -
CONCEPT PREVIEW Fill in the blank(s) to...Ch. 6.1 - CONCEPT PREVIEW Write a short answer for each of...Ch. 6.1 - Consider the inverse cosine function y = cos1 x,...Ch. 6.1 -
9. Consider the inverse tangent function y =...Ch. 6.1 -
10. Give the domain and range of each inverse...
Ch. 6.1 -
11. Concept Check Why are different intervals...Ch. 6.1 - Concept Check For positive values of a, cot1 a is...Ch. 6.1 -
Find the exact value of each real number y if it...Ch. 6.1 - Find the exact value of each real number y if it...Ch. 6.1 -
Find the exact value of each real number y if...Ch. 6.1 -
Find the exact value of each real number y if it...Ch. 6.1 - Find the exact value of each real number y if it...Ch. 6.1 - Find the exact value of each real number y if it...Ch. 6.1 -
Find the exact value of each real number y if it...Ch. 6.1 -
Find the exact value of each real number y if it...Ch. 6.1 -
Find the exact value of each real number y if it...Ch. 6.1 -
Find the exact value of each real number y if it...Ch. 6.1 - Find the exact value of each real number y if it...Ch. 6.1 -
Find the exact value of each real number y if it...Ch. 6.1 - Find the exact value of each real number y if it...Ch. 6.1 - Find the exact value of each real number y if it...Ch. 6.1 - Find the exact value of each real number y if it...Ch. 6.1 -
Find the exact value of each real number y if it...Ch. 6.1 - Find the exact value of each real number y if it...Ch. 6.1 -
Find the exact value of each real number y if it...Ch. 6.1 -
Find the exact value of each real number y if it...Ch. 6.1 -
Find the exact value of each real number y if...Ch. 6.1 - Find the exact value of each real number y if it...Ch. 6.1 - Find the exact value of each real number y if it...Ch. 6.1 - Find the exact value of each real number y if it...Ch. 6.1 -
Find the exact value of each real number y if it...Ch. 6.1 - Give the degree measure of if it exists. Do not...Ch. 6.1 - Give the degree measure of if it exists. Do not...Ch. 6.1 - Give the degree measure of if it exists. Do not...Ch. 6.1 -
Give the degree measure of θ if it exists. Do...Ch. 6.1 - Give the degree measure of if it exists. Do not...Ch. 6.1 - Give the degree measure of if it exists. Do not...Ch. 6.1 - Give the degree measure of if it exists. Do not...Ch. 6.1 - Give the degree measure of if it exists. Do not...Ch. 6.1 -
Give the degree measure of θ if it exists. Do...Ch. 6.1 - Give the degree measure of if it exists. Do not...Ch. 6.1 - Give the degree measure of if it exists. Do not...Ch. 6.1 - Give the degree measure of if it exists. Do not...Ch. 6.1 -
Use a calculator to approximate each value in...Ch. 6.1 - Use a calculator to approximate each value in...Ch. 6.1 -
Use a calculator to approximate each value in...Ch. 6.1 - Use a calculator to approximate each real number...Ch. 6.1 -
Use a calculator to approximate each value in...Ch. 6.1 -
Use a calculator to approximate each value in...Ch. 6.1 -
Use a calculator to approximate each value in...Ch. 6.1 - Use a calculator to approximate each value in...Ch. 6.1 -
Use a calculator to approximate each value in...Ch. 6.1 - Use a calculator to approximate each value in...Ch. 6.1 - Use a calculator to approximate each real number...Ch. 6.1 -
Use a calculator to approximate each real number...Ch. 6.1 - Use a calculator to approximate each real number...Ch. 6.1 - Use a calculator to approximate each real number...Ch. 6.1 - Use a calculator to approximate each real number...Ch. 6.1 - Use a calculator to approximate each real number...Ch. 6.1 - Use a calculator to approximate each real number...Ch. 6.1 - Use a calculator to approximate each real number...Ch. 6.1 -
Use a calculator to approximate each real number...Ch. 6.1 - Use a calculator to approximate each real number...Ch. 6.1 - Prob. 69ECh. 6.1 - Prob. 70ECh. 6.1 - Prob. 71ECh. 6.1 - Prob. 72ECh. 6.1 - Prob. 73ECh. 6.1 - Prob. 74ECh. 6.1 -
Evaluate each expression without using a...Ch. 6.1 -
Evaluate each expression without using a...Ch. 6.1 - Evaluate each expression without using a...Ch. 6.1 - Evaluate each expression without using a...Ch. 6.1 - Evaluate each expression without using a...Ch. 6.1 - Evaluate each expression without using a...Ch. 6.1 -
Evaluate each expression without using a...Ch. 6.1 - Evaluate each expression without using a...Ch. 6.1 - Evaluate each expression without using a...Ch. 6.1 -
Evaluate each expression without using a...Ch. 6.1 - Prob. 85ECh. 6.1 - Prob. 86ECh. 6.1 - Evaluate each expression without using a...Ch. 6.1 - Evaluate each expression without using a...Ch. 6.1 -
Evaluate each expression without using a...Ch. 6.1 - Evaluate each expression without using a...Ch. 6.1 - Use a calculator to find each value. Give answers...Ch. 6.1 - Prob. 92ECh. 6.1 - Prob. 93ECh. 6.1 -
Use a calculator to find each value. Give...Ch. 6.1 -
Write each trigonometric expression as an...Ch. 6.1 -
Write each trigonometric expression as an...Ch. 6.1 - Write each trigonometric expression as an...Ch. 6.1 -
Write each trigonometric expression as an...Ch. 6.1 -
Write each trigonometric expression as an...Ch. 6.1 - Prob. 100ECh. 6.1 - Write each trigonometric expression as an...Ch. 6.1 - Prob. 102ECh. 6.1 - Write each trigonometric expression as an...Ch. 6.1 - Prob. 104ECh. 6.1 -
105. Angle of Elevation of a Shot Put Refer to...Ch. 6.1 - Prob. 106ECh. 6.1 - Observation of a Painting A painting 1 m high and...Ch. 6.1 - Landscaping Formula A shrub is planted in a...Ch. 6.1 - Communications Satellite Coverage The figure shows...Ch. 6.1 - Prob. 110ECh. 6.1 - Prob. 111ECh. 6.1 - Prob. 112ECh. 6.1 - Prob. 113ECh. 6.1 - Prob. 114ECh. 6.2 -
CONCEPT PREVIEW Use the unit circle shown here...Ch. 6.2 - CONCEPT PREVIEW Use the unit circle shown here to...Ch. 6.2 -
CONCEPT PREVIEW Use the unit circle shown here...Ch. 6.2 - CONCEPT PREVIEW Use the unit circle shown here to...Ch. 6.2 -
CONCEPT PREVIEW Use the unit circle shown here...Ch. 6.2 -
CONCEPT PREVIEW Use the unit circle shown here...Ch. 6.2 - CONCEPT PREVIEW Use the unit circle shown here to...Ch. 6.2 - CONCEPT PREVIEW Use the unit circle shown here to...Ch. 6.2 - CONCEPT PREVIEW Use the unit circle shown here to...Ch. 6.2 - CONCEPT PREVIEW Use the unit circle shown here to...Ch. 6.2 - CONCEPT PREVIEW Use the unit circle shown here to...Ch. 6.2 -
CONCEPT PREVIEW Use the unit circle shown here...Ch. 6.2 - Concept Check Suppose that in solving an equation...Ch. 6.2 -
14. Concept Check Lindsay solved the equation...Ch. 6.2 - Solve each equation for exact solutions over the...Ch. 6.2 -
Solve each equation for exact solutions over the...Ch. 6.2 -
Solve each equation for exact solutions over the...Ch. 6.2 - Solve each equation for exact solutions over the...Ch. 6.2 - Solve each equation for exact solutions over the...Ch. 6.2 - Solve each equation for exact solutions over the...Ch. 6.2 -
Solve each equation for exact solutions over the...Ch. 6.2 -
Solve each equation for exact solutions over the...Ch. 6.2 - Solve each equation for exact solutions over the...Ch. 6.2 -
Solve each equation for exact solutions over the...Ch. 6.2 - 2 sin2 x = 3 sin x + 1Ch. 6.2 - Solve each equation for exact solutions over the...Ch. 6.2 -
Solve each equation for solutions over the...Ch. 6.2 - Solve each equation for solutions over the...Ch. 6.2 -
Solve each equation for solutions over the...Ch. 6.2 -
Solve each equation for solutions over the...Ch. 6.2 - Solve each equation for solutions over the...Ch. 6.2 -
Solve each equation for solutions over the...Ch. 6.2 - Solve each equation for solutions over the...Ch. 6.2 - Prob. 34ECh. 6.2 -
Solve each equation for solutions over the...Ch. 6.2 -
Solve each equation for solutions over the...Ch. 6.2 -
Solve each equation for solutions over the...Ch. 6.2 -
Solve each equation for solutions over the...Ch. 6.2 -
Solve each equation for solutions over the...Ch. 6.2 -
Solve each equation for solutions over the...Ch. 6.2 -
Solve each equation for solutions over the...Ch. 6.2 - Prob. 42ECh. 6.2 - Solve each equation for solutions over the...Ch. 6.2 - Prob. 44ECh. 6.2 - Solve each equation for solutions over the...Ch. 6.2 -
Solve each equation for solutions over the...Ch. 6.2 - Solve each equation (x in radians and in degrees)...Ch. 6.2 - Prob. 48ECh. 6.2 - Solve each equation (x in radians and in degrees)...Ch. 6.2 - Prob. 50ECh. 6.2 -
Solve each equation (x in radians and θ in...Ch. 6.2 - Solve each equation (x in radians and in degrees)...Ch. 6.2 - Solve each equation (x in radians and in degrees)...Ch. 6.2 - Prob. 54ECh. 6.2 -
Solve each equation (x in radians and θ in...Ch. 6.2 -
Solve each equation (x in radians and θ in...Ch. 6.2 - Solve each equation (x in radians and in degrees)...Ch. 6.2 - Prob. 58ECh. 6.2 - Solve each equation (x in radians and in degrees)...Ch. 6.2 - Prob. 60ECh. 6.2 - Solve each equation (x in radians and in degrees)...Ch. 6.2 - Prob. 62ECh. 6.2 - Prob. 63ECh. 6.2 -
The following equations cannot be solved by...Ch. 6.2 - Pressure on the Eardrum See Example 6. No musical...Ch. 6.2 - Accident Reconstruction To reconstruct accidents...Ch. 6.2 - Prob. 67ECh. 6.2 - Prob. 68ECh. 6.3 -
CONCEPT PREVIEW Refer to Exercises 1–6 in the...Ch. 6.3 - CONCEPT PREVIEW Refer to Exercises 16 in the...Ch. 6.3 -
CONCEPT PREVIEW Refer to Exercises 1–6 in the...Ch. 6.3 - CONCEPT PREVIEW Refer to Exercises 16 in the...Ch. 6.3 - CONCEPT PREVIEW Refer to Exercises 16 in the...Ch. 6.3 - CONCEPT PREVIEW Refer to Exercises 1-6 in the...Ch. 6.3 - CONCEPT PREVIEW Refer to Exercises 712 in the...Ch. 6.3 - CONCEPT PREVIEW Refer to Exercises 712 in the...Ch. 6.3 - CONCEPT PREVIEW Refer to Exercises 712 in the...Ch. 6.3 - CONCEPT PREVIEW Refer to Exercises 712 in the...Ch. 6.3 -
CONCEPT PREVIEW Refer to Exercises 7–12 in the...Ch. 6.3 - CONCEPT PREVIEW Refer to Exercises 712 in the...Ch. 6.3 - Suppose solving a trigonometric equation for...Ch. 6.3 -
14. Suppose solving a trigonometric equation for...Ch. 6.3 -
15. Suppose solving a trigonometric equation for...Ch. 6.3 - Prob. 16ECh. 6.3 -
Solve each equation in x for exact solutions...Ch. 6.3 -
Solve each equation in x for exact solutions...Ch. 6.3 -
Solve each equation in x for exact solutions...Ch. 6.3 - Solve each equation in x for exact solutions over...Ch. 6.3 -
Solve each equation in x for exact solutions...Ch. 6.3 - Solve each equation in x for exact solutions over...Ch. 6.3 -
Solve each equation in x for exact solutions...Ch. 6.3 - Solve each equation in x for exact solutions over...Ch. 6.3 -
Solve each equation in x for exact solutions...Ch. 6.3 -
Solve each equation in x for exact solutions...Ch. 6.3 -
Solve each equation in x for exact solutions...Ch. 6.3 -
Solve each equation in x for exact solutions...Ch. 6.3 - Prob. 29ECh. 6.3 - Solve each equation in x for exact solutions over...Ch. 6.3 - Solve each equation in x for exact solutions over...Ch. 6.3 -
Solve each equation in x for exact solutions...Ch. 6.3 - Solve each equation in x for exact solutions over...Ch. 6.3 - Solve each equation in x for exact solutions over...Ch. 6.3 - Solve each equation (x in radians and in degrees)...Ch. 6.3 - Solve each equation (x in radians and in degrees)...Ch. 6.3 - Solve each equation (x in radians and in degrees)...Ch. 6.3 - Solve each equation (x in radians and in degrees)...Ch. 6.3 -
Solve each equation (x in radians and θ in...Ch. 6.3 - Prob. 40ECh. 6.3 -
Solve each equation (x in radians and θ in...Ch. 6.3 - Prob. 42ECh. 6.3 - Solve each equation (x in radians and in degrees)...Ch. 6.3 - Prob. 44ECh. 6.3 - Solve each equation (x in radians and in degrees)...Ch. 6.3 - Solve each equation (x in radians and in degrees)...Ch. 6.3 - Solve each equation (x in radians and in degrees)...Ch. 6.3 - Solve each equation (x in radians and in degrees)...Ch. 6.3 -
Solve each equation (x in radians and θ in...Ch. 6.3 -
Solve each equation (x in radians and θ in...Ch. 6.3 -
Solve each equation for solutions over the...Ch. 6.3 - Solve each equation for solutions over the...Ch. 6.3 - Solve each equation for solutions over the...Ch. 6.3 -
Solve each equation for solutions over the...Ch. 6.3 - The following equations cannot be solved by...Ch. 6.3 -
The following equations cannot be solved by...Ch. 6.3 - 57. Pressure of a Plucked String If a string with...Ch. 6.3 - Hearing Beats in Music Musicians sometimes tune...Ch. 6.3 -
59. Hearing Difference Tones When a musical...Ch. 6.3 - Daylight Hours in New Orleans The seasonal...Ch. 6.3 - Average Monthly Temperature in Vancouver The...Ch. 6.3 - Average Monthly Temperature in Phoenix The...Ch. 6.3 - (Modeling) Alternating Electric Current The study...Ch. 6.3 - Prob. 64ECh. 6.3 -
(Modeling) Alternating Electric Current The...Ch. 6.3 - Prob. 66ECh. 6.3 - Graph y = cos1 x, and indicate the coordinates of...Ch. 6.3 - Prob. 2QCh. 6.3 - Prob. 3QCh. 6.3 - Evaluate each expression without using a...Ch. 6.3 - Prob. 5QCh. 6.3 - Prob. 6QCh. 6.3 - Prob. 7QCh. 6.3 -
Solve each equation for solutions over the...Ch. 6.3 - Prob. 9QCh. 6.3 - Solve each equation for solutions over the...Ch. 6.4 - Which one of the following equations has solution...Ch. 6.4 -
2. Which one of the following equations has...Ch. 6.4 - Prob. 3ECh. 6.4 - Which one of the following equations has solution...Ch. 6.4 -
5. Which one of the following equations has...Ch. 6.4 -
4. Which one of the following equations has...Ch. 6.4 -
Solve each equation for x, where x is restricted...Ch. 6.4 - Prob. 8ECh. 6.4 - Solve each equation for x, where x is restricted...Ch. 6.4 - Prob. 10ECh. 6.4 -
Solve each equation for x, where x is restricted...Ch. 6.4 - Prob. 12ECh. 6.4 - Solve each equation for x, where x is restricted...Ch. 6.4 - Prob. 14ECh. 6.4 -
Solve each equation for x, where x is restricted...Ch. 6.4 -
Solve each equation for x, where x is restricted...Ch. 6.4 - Solve each equation for x, where x is restricted...Ch. 6.4 - Solve each equation for x, where x is restricted...Ch. 6.4 - Prob. 19ECh. 6.4 - Prob. 20ECh. 6.4 - Solve each equation for x, where x is restricted...Ch. 6.4 - Prob. 22ECh. 6.4 - Prob. 23ECh. 6.4 - Prob. 24ECh. 6.4 - Refer to Exercise 15. A student solving this...Ch. 6.4 - Prob. 26ECh. 6.4 - Solve each equation for exact solutions. See...Ch. 6.4 -
Solve each equation for exact solutions. See...Ch. 6.4 -
Solve each equation for exact solutions. See...Ch. 6.4 - Prob. 30ECh. 6.4 -
Solve each equation for exact solutions. See...Ch. 6.4 -
Solve each equation for exact solutions. See...Ch. 6.4 -
Solve each equation for exact solutions. See...Ch. 6.4 - Solve each equation for exact solutions. See...Ch. 6.4 - Solve each equation for exact solutions. See...Ch. 6.4 -
Solve each equation for exact solutions. See...Ch. 6.4 -
Solve each equation for exact solutions. See...Ch. 6.4 -
Solve each equation for exact solutions. See...Ch. 6.4 -
Solve each equation for exact solutions. See...Ch. 6.4 - Prob. 40ECh. 6.4 - Solve each equation for exact solutions. See...Ch. 6.4 -
Solve each equation for exact solutions. See...Ch. 6.4 - Solve each equation for exact solutions. See...Ch. 6.4 - Prob. 44ECh. 6.4 - Prob. 45ECh. 6.4 - Prob. 46ECh. 6.4 - Prob. 47ECh. 6.4 - Prob. 48ECh. 6.4 - Prob. 49ECh. 6.4 - Prob. 50ECh. 6.4 -
51. Depth of Field When a large-view camera is...Ch. 6.4 - Prob. 52ECh. 6.4 - Prob. 53ECh. 6.4 -
54. Viewing Angle of an Observer While visiting a...Ch. 6.4 - Prob. 55ECh. 6 - Prob. 1RECh. 6 - The ranges of the inverse tangent and inverse...Ch. 6 -
Concept Check Determine whether each statement...Ch. 6 -
Concept Check Determine whether each statement...Ch. 6 - Prob. 5RECh. 6 - Find the exact value of each real number y. Do not...Ch. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Find the exact value of each real number y. Do not...Ch. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Give the degree measure of . Do not use a...Ch. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - Prob. 21RECh. 6 - Prob. 22RECh. 6 -
Evaluate each expression without using a...Ch. 6 - Prob. 24RECh. 6 - Prob. 25RECh. 6 - Prob. 26RECh. 6 - Prob. 27RECh. 6 - Prob. 28RECh. 6 -
Evaluate each expression without using a...Ch. 6 -
Evaluate each expression without using a...Ch. 6 - Prob. 31RECh. 6 - Prob. 32RECh. 6 - Evaluate each expression without using a...Ch. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Prob. 42RECh. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Solve each equation for exact solutions over the...Ch. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - Prob. 49RECh. 6 - Prob. 50RECh. 6 - Prob. 51RECh. 6 - Prob. 52RECh. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - Prob. 55RECh. 6 - Prob. 56RECh. 6 - Prob. 57RECh. 6 - Prob. 58RECh. 6 - Prob. 59RECh. 6 - Prob. 60RECh. 6 - Prob. 61RECh. 6 - Prob. 62RECh. 6 - Prob. 63RECh. 6 - Prob. 64RECh. 6 - Prob. 65RECh. 6 - Prob. 66RECh. 6 -
1. Graph y = sin–1 x, and indicate the...Ch. 6 - Find the exact value of each real number y. Do not...Ch. 6 - Give the degree measure of . Do not use a...Ch. 6 -
4. Use a calculator to approximate each value in...Ch. 6 - Evaluate each expression without using a...Ch. 6 -
6. Explain why sin–1 3 is not defined.
Ch. 6 - Prob. 7TCh. 6 - Write tan(arcsin u) as an algebraic expression in...Ch. 6 - Prob. 9TCh. 6 - Prob. 10TCh. 6 - Prob. 11TCh. 6 - Prob. 12TCh. 6 - Prob. 13TCh. 6 - Prob. 14TCh. 6 - Prob. 15TCh. 6 - Prob. 16TCh. 6 - Prob. 17TCh. 6 - Prob. 18TCh. 6 - Prob. 19TCh. 6 - Prob. 20T
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