Section 8.3: Inverse Trigonometric Functions

What does the inverse sine function 'undo' in trigonometry?

• It undoes the original sine function.

• It calculates the hypotenuse of a triangle.

• It finds the area of a circle.

• It multiplies angles in radians.

What is the range of the inverse cosine function?

• [0, π]

• [-π/2, π/2]

• (-∞, ∞)

• [-1, 1]

Which statement is true for the graph of the inverse tangent function?

• It has a range of all real numbers.

• It has a domain of [-π, π].

• It is not a one-to-one function.

• It passes the horizontal line test.

What is the domain of the inverse sine function?

• [-1, 1]

• [-π/2, π/2]

• (-∞, ∞)

• [0, π]

If sin(π/6) = 1/2, what is sin⁻¹(1/2)?

• π/6

• π/4

• π/2

• π/3

What is the correct expression for the inverse of the cosine function?

• cos⁻¹(x) means x = cosy.

• cos⁻¹(x) means x = cotx.

• cos⁻¹(x) means x = sinx.

• cos⁻¹(x) means x = tanx.

Which function is sometimes called the arcsine function?

• sec⁻¹(x)

• cos⁻¹(x)

• sin⁻¹(x)

• tan⁻¹(x)

What is the range of the inverse tangent function?

• [-1, 1]

• [0, π]

• [-π/2, π/2]

• (-π/2, π/2)

For the inverse trigonometric functions, what must be true about their original functions?

• They must be one-to-one on their restricted domains.

• They must be periodic on all domains.

• They must have a range of all real numbers.

• They must intersect the line y = x.

What is the result of cos⁻¹(cos(π))?

• π/2

• 2π

• π

• 0