Trigonometry Chapter 4 Test

Which of the following functions has a period of 2π and passes through the point (0, 0)?

• sin x

• cos x

• tan x

• csc x

• None of these

For the function y = 2 − 4 cos x, identify the amplitude.

• π

• 4

• -4

• 4π

• E. None of these

For the function y = 2 - 4tan 3x, identify the period

• 2π

• π/4

• π/3

• 2π/3

• None of these

What is the domain of sec x ?

• [−1,1]

• (−∞, ∞)

• (2n+1)π/2

• (−∞, −1] ∪ [1, ∞)

• None of these

What is the range of tan x?

• (−∞, ∞)

• [−1, 1]

• (−∞, −1] ∪ [1, ∞)

• x ≠ π/2 + nπ

• None of these

Identify which point satisfies the function y = −3 tan x.

• (0, -3)

• (3π/4, 3)

• (0, −1)

• (π/2, 0)

• None of these

Identify the phase shift for the function y = 2 + 4 cot(2x + π/2).

• π/4 to the right

• π/4 to the left

• 4 units left

• 2 units up

• 2 units down

• 2 units up

• 2 units down

• None of these

Which of the following is the equation of the tan function with a period π and negative phase shift of π/2 units to the left?

• y = tan 2(x - π/2)

• y = tan(x - π/2)

• y = tan(x + π/2)

• y = tan 4(x + π/2)

• None of these

• y = -2 cot x

• -2cot(x + 4)

• None of these