130_8.3_notes_quiz

What is the range of the inverse cosine function?

• [0, π]

• [-1, 1]

• [-π/2, π/2]

• [0, 2π]

Fill in the blank: For angles in the interval [0, π], if y = cos x, then x = ____.

• A) sin⁻¹(y)

• B) cos⁻¹(y)

• C) tan⁻¹(y)

• D) y

What is the domain of the inverse tangent function?

• [-1, 1]

• [0, π]

• [-π/2, π/2]

• All real numbers.

Which of the following is true for the inverse sine function?

• It is defined for all real numbers.

• Its range is [0, π].

• Its domain is [-1, 1].

• It is periodic.

Fill in the blank: The inverse cosine function is defined for y in the interval ____.

• [-1, 1]

• [0, π]

• [-π/2, π/2]

• All real numbers.

What is the range of the inverse tangent function?

• [-1, 1]

• [0, π]

• (-π/2, π/2)

• All real numbers.

Fill in the blank: The inverse sine function is defined for y in the interval ____.

• [-1, 1]

• [0, π]

• [-π/2, π/2]

• All real numbers.

Evaluate cos⁻¹(cos(2π/3)).

• 2π/3

• π/3

• π

• 0

Solve the triangle in Figure 9. What is the length of side x (the horizontal leg of the triangle)?

• 8

• 2

• 1

• √2

What is the value of sin⁻¹(-√3/2)?

• -π/3

• -π/2

• -π/4

• 0