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Zill and Dewar - Trigonometry 3/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 7 / 12

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

Last Saved : n/a Saving...  ()

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Question
Points
1 2 3 4 5 6 7
–/4 –/1 –/1 –/1 –/3 –/1 –/1
Total
7/12 (58.3%)

  • Instructions

    Here are some textbook questions from Trigonometry 3/e by Dennis G. Zill and Jacqueline M. Dewar published by Jones & Bartlett Learning. Click here for a list of all of the questions coded in WebAssign. 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. –/4 points ZillTrig3 3.2.033. My Notes
Question Part
Points
Submissions Used
1 2 3 4
–/1 –/1 –/1 –/1
0/50 0/50 0/50 0/50
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–/4
 
Find the amplitude, period, and phase shift of the given function.
y = sin
x − 
π
6
 
amplitude
period
phase shift  

Sketch at least one cycle of the graph.

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2. –/1 points ZillTrig3 3.2.043. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
Write an equation of the function whose graph is described in words.
The graph of y = cos(x) is vertically stretched by a factor of 5 and shifted down by 2 units. One cycle of y = cos(x) on [0, 2π] is compressed to [0, π/3] and then the compressed cycle is shifted horizontally π/4 units to left.
y =
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3. –/1 points ZillTrig3 3.3.007. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
Find the indicated value without the use of a calculator.
csc
− 
π
4
 
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4. –/1 points ZillTrig3 3.4.015. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
Use a sum or difference formula to find the exact value of the given expression.
tan
7π
12
 
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5. –/3 points ZillTrig3 3.4.035. My Notes
Question Part
Points
Submissions Used
1 2 3
–/1 –/1 –/1
0/50 0/50 0/50
Total
–/3
 
Use the given information to find cos(2x), sin(2x), and tan(2x).
sin(x) = 
5
6
,  
π
2
 < x < π
(a)    cos(2x)


(b)    sin(2x)


(c)    tan(2x)
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6. –/1 points ZillTrig3 3.4.057. My Notes
Question Part
Points
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1
–/1
0/50
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–/1
 
The ratio of the speed of an airplane to the speed of sound is called the Mach number M of the plane. If M > 1, the plane makes sound waves that form a (moving) cone, as shown in the figure below. A sonic boom is heard at the intersection of the cone with the ground. If the vertex angle of the cone is θ, then
sin
θ
2
 = 
1
M
.
If θ = π/3, find the exact value of the Mach number. (Round your answer to two decimal places.)
M =
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7. –/1 points ZillTrig3 3.6.057. My Notes
Question Part
Points
Submissions Used
1
–/1
0/50
Total
–/1
 
By graphing determine whether the given equation has any solutions.
3(cot(x) − x) = 0
    
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