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Stewart, Redlin, and Watson - Trigonometry 2/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 1 / 36

Due : Sunday, January 27, 2030 00:00 EST

Last Saved : n/a Saving...  ()

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0/2 –/6 –/1 0/4 –/0 –/5 –/4 –/6 –/6 1/1
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1/36 (2.8%)

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    In this assignment we present several textbook question types found in Chapter 2 on Trigonometric Functions: Unit Circle Approach in Trigonometry 2/e by James Stewart, Lothar Redlin, and Saleem Watson published by Brooks/Cole. We also included 2 questions from Chapter 1 Fundamentals and 1 question from Appendix A: Algebra Review. This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

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1. 0/2 points  |  Previous Answers STrig2 2.1.041. My Notes
Question Part
Points
Submissions Used
1 2
0/1 –/1
1/50 0/50
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0/2
 
Consider the following.
t =
3π
4
(a) Find the reference number for the value of t.
2.35
Incorrect: Your answer is incorrect.

(b) Find the terminal point determined by t.
(x, y) = 

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2. –/6 points STrig2 2.2.026. My Notes
Question Part
Points
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1 2 3 4 5 6
–/1 –/1 –/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50 0/50 0/50
Total
–/6
 
Find the value of each of the six trigonometric functions (if it is defined) at the given real number t. Use your answers to complete the table. (If an answer is undefined, enter UNDEFINED.)
t = 
π
2
t sin t cos t tan t csc t sec t cot t
π
2
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3. –/1 points STrig2 2.2.051. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
From the information given, find the quadrant in which the terminal point determined by t lies.
sin t < 0 and cos t > 0
    

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4. 0/4 points  |  Previous Answers STrig2 2.3.043. My Notes
Question Part
Points
Submissions Used
1 2 3 4
0/1 0/1 0/1 –/1
1/50 1/50 1/50 0/50
Total
0/4
 
The graph of one complete period of a sine curve is given.
WebAssign Plot
(a) Find the amplitude, period, and phase shift. (Assume the absolute value of the phase shift is less than the period.)
amplitude     Incorrect: Your answer is incorrect.
period
343
Incorrect: Your answer is incorrect.
phase shift    
3534
Incorrect: Your answer is incorrect.

(b) Write an equation that represents the curve in the form
y = a sin k(x − b).
y =

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5. –/0 points STrig2 2.3.060. My Notes
Question Part
Points
Submissions Used
Total
–/0
 
A graphing calculator is recommended.

Graph f, g, and f + g on a common screen to illustrate graphical addition.
f(x) = sin x,  g(x) = sin 5x

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6. –/5 points STrig2 2.4.057. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5
–/1 –/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50 0/50
Total
–/5
 
The beam from a lighthouse completes one rotation every two minutes. At time t, the distance d shown in the figure below is
d(t) = 3 tan πt
where t is measured in minutes and d in miles.
(a) Find d(0.15), d(0.25), and d(0.3). (Round your answers to two decimal places.)
d(0.15) = mi
d(0.25) = mi
d(0.3) = mi

(b) Sketch a graph of the function d for
0 ≤ t < 
1
2
.


(c) What happens to the distance d as t approaches
1
2
?

    

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7. –/4 points STrig2 2.6.003. My Notes
Question Part
Points
Submissions Used
1 2 3 4
–/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50
Total
–/4
 
The given function models the displacement of an object moving in simple harmonic motion.
y = 8 sin 3t
(a) Find the amplitude, period, and frequency of the motion.
amplitude    

period    

frequency    



(b) Sketch a graph of the displacement of the object over one complete period.

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8. –/6 points STrig2 1.3.078.MI. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6
–/1 –/1 –/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50 0/50 0/50
Total
–/6
 
A hotel chain charges $75 each night for the first two nights and $30 for each additional night's stay. The total cost T is a function of the number of nights x that a guest stays.
(a) Complete the expressions in the following piecewise defined function.
T(x) = 
    		if 0 ≤ x ≤ 2
    		if x > 2


(b) Find T(2), T(3), and T(5).
T(2) = $
T(3) = $
T(5) = $


(c) What do your answers in part (b) represent?
    

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9. –/6 points STrig2 1.4.013. My Notes
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1 2 3 4 5 6
–/1 –/1 –/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50 0/50 0/50
Total
–/6
 
Sketch the graph of the function by first making a table of values.
h(x) = 10 − x2
x h(x) = 10 − x2
0
±6
±4
±2
±1

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Clear Graph
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10. 1/1 points  |  Previous Answers STrig2 A.1.039. My Notes
Question Part
Points
Submissions Used
1
1/1
1/50
Total
1/1
 
Graph the set.
(−∞, −2) ∪ (6, ∞)
Use the tools to enter your answer.
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Created with Raphaël 2.1.0

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