Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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![5. What is the maximum value of the transformed sine function g(x) = –2sin[3(x + 4)] – 6?
A. -4
В. —8
С. 4
D. 3.
6. What is the average rate of change of the function f(x) = cos x over the interval T < x < 2n?
A.
В. 1.
C. 2.
D. 0.
7. Which of the following is equivalent to cos( - x)?
A. sin x
В. cos x.
C. - CoS .
D. – sin x.
8. Within the interval 0 < x < 27, the graph of f(x) = sin x crosses the x-axis at three points: x =
After a transformation of the form g(x)
0, π, 2π.
sin kx, with 1.5 < k < 2, how are the x-intercepts affected within
the same interval?
A. the new graph has three x-intercepts as before.
B. the new graph has more than three x-intercepts.
C. the new graph has less than three x-intercepts.
D. the new graph does not have any x-intercepts.
9. If the interval under consideration is 0 <x < 27, how many solutions does the equation sin x(1 – cos x) = 0
have?
А. 1.
В. 2.
С. 3.
D. 4.
10. What is the period of the transformed function g(x) = -3 sin(60° + 2x)?
A. 6°.
B. 60°.
C. 120°.
D. 180°.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33935e0c-7c7e-4a9a-b510-667b916f63e3%2Fabb386d4-f30f-4c0c-b908-e7364ee07dbb%2Flqv4djf_processed.png&w=3840&q=75)
Transcribed Image Text:5. What is the maximum value of the transformed sine function g(x) = –2sin[3(x + 4)] – 6?
A. -4
В. —8
С. 4
D. 3.
6. What is the average rate of change of the function f(x) = cos x over the interval T < x < 2n?
A.
В. 1.
C. 2.
D. 0.
7. Which of the following is equivalent to cos( - x)?
A. sin x
В. cos x.
C. - CoS .
D. – sin x.
8. Within the interval 0 < x < 27, the graph of f(x) = sin x crosses the x-axis at three points: x =
After a transformation of the form g(x)
0, π, 2π.
sin kx, with 1.5 < k < 2, how are the x-intercepts affected within
the same interval?
A. the new graph has three x-intercepts as before.
B. the new graph has more than three x-intercepts.
C. the new graph has less than three x-intercepts.
D. the new graph does not have any x-intercepts.
9. If the interval under consideration is 0 <x < 27, how many solutions does the equation sin x(1 – cos x) = 0
have?
А. 1.
В. 2.
С. 3.
D. 4.
10. What is the period of the transformed function g(x) = -3 sin(60° + 2x)?
A. 6°.
B. 60°.
C. 120°.
D. 180°.
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