AP Precalculus: Unit 3B Multiple-Choice Quiz

What is the period of the function f(x) = tan(x)?

• A) π

• B) 2π

• C) π/2

• D) π/4

Tags

CCSS.HSF.TF.A.4

Which of the following statements is true about the tangent function?

• A) It has vertical asymptotes at x = nπ, where n is an integer.

• B) It is an even function.

• C) Its period is 2π.

• D) It is undefined at x = π/4.

What is the principal value of arccos(-1/2)?

• π/3

• 2π/3

• 5π/6

• 7π/6

Tags

CCSS.HSF.TF.B.7

The function y = arctan(x) has a range of:

• (-∞, ∞)

• [0, π]

• [-π/2, π/2]

• [0, π/2]

Tags

CCSS.HSF-BF.B.4D

Solve for x in the interval [0, 2π): 2cos(x) = 1

• π/3, 5π/3

• π/4, 3π/4

• π/6, 5π/6

• π/2, 3π/2

Tags

CCSS.HSF.TF.B.7

The equation sin(2x) = 0 has how many solutions in [0, 2π]?

• 1

• 2

• 3

• 4

Tags

CCSS.HSF.TF.B.7

What is the domain of f(x) = csc(x)?

• x ≠ nπ

• x ≠ π/2 + nπ

• x ≠ 2nπ

• x ≠ π/4 + nπ

Which of the following is equivalent to cot(x)?

• sin(x)/cos(x)

• cos(x)/sin(x)

• 1/sin(x)

• 1/cos(x)

If sin(θ) = 3/5 and θ is in Quadrant II, what is cos(θ)?

• 4/5

• -4/5

• 5/4

Tags

CCSS.HSF.TF.C.8

Which of the following is an identity?

• sin(x) + cos(x) = 1

• tan(x) = sin(x)/cos(x)

• cos(x) + sin(x) = tan(x)

• sec(x) = 1 - sin(x)