Q. Which of the following is the correct phase shift of y = sin(x - π/4)?
Solution
The phase shift is found by setting the inside of the sine function to zero, giving a shift of π/4 to the right.
Correct Answer:
B
— π/4
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Q. Which of the following is the Pythagorean identity?
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A.
sin²θ + cos²θ = 1
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B.
tanθ = sinθ/cosθ
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C.
secθ = 1/cosθ
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D.
cscθ = 1/sinθ
Solution
The Pythagorean identity is sin²θ + cos²θ = 1.
Correct Answer:
A
— sin²θ + cos²θ = 1
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Q. Which of the following represents the phase shift of the function y = sin(x - π/4)?
Solution
The phase shift of y = sin(x - C) is C. Here, C = π/4, so the phase shift is π/4 to the right.
Correct Answer:
B
— π/4
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