Exploring Inverse Trigonometric Functions

What is the range of the function arcsin(x)?

• [0, 1]

• [0, π]

• [-π/2, π/2]

• [-1, 1]

What is the domain of the function arccos(x)?

• [-2, 2]

• [-1, 1]

• [0, 2]

• (-∞, -1) ∪ (1, ∞)

Calculate arcsin(0.5).

• π/4

• π/6

• π/2

• π/3

What is the value of arctan(1)?

• 0

• π/3

• π/2

• π/4

If sin(θ) = 0.6, what is θ in radians using arcsin?

• 0.5236

• 0.7854

• 1.0472

• 0.6435

What is the relationship between arctan(x) and tan(arctan(x))?

• arctan(tan(x)) = x

• arctan(x) = x

• tan(arctan(x)) = x

• tan(arctan(x)) = 1

Find the value of arccos(-1).

• π

• 0

• π/2

• π/4

What is the derivative of arcsin(x)?

• 1/x

• 1/sqrt(1-x^2)

• sqrt(1+x^2)

• 1/(1+x^2)

If cos(θ) = 0.5, what is θ using arccos?

• 30°

• 120°

• 60°

• 90°

What is the principal value of arctan(-√3)?

• 0

• π/3

• -π/4

• -π/3