Inverse Trigonometric Functions Quiz

What is the domain restriction for the sine function to make it one-to-one?

• 0 to π

• -π to π

• -π/2 to π/2

• 0 to 2π

Which notation is NOT used for the inverse sine function?

• sin^(-1)(x)

• arcsin(x)

• sin(x)^(-1)

• a sin(x)

What is the angle whose sine is √3/2 within the restricted domain?

• π/4

• π/3

• π/6

• π/2

What is the domain restriction for the cosine function to make it one-to-one?

• 0 to 2π

• 0 to π

• -π to π

• -π/2 to π/2

Which angle has a cosine of 1/2 within the restricted domain?

• π/3

• π/6

• π/4

• π/2

What is the domain restriction for the tangent function to make it one-to-one?

• -π/2 to π/2

• 0 to π

• 0 to 2π

• -π to π

Which angle has a tangent of 1 within the restricted domain?

• π/2

• π/6

• π/3

• π/4

What is the angle whose tangent is -1 within the restricted domain?

• -π/6

• -π/4

• -π/2

• -π/3

In the context of inverse trigonometric functions, what does the expression 'arc cosine of 1/4' represent?

• An angle whose tangent is 1/4

• An angle whose secant is 1/4

• An angle whose sine is 1/4

• An angle whose cosine is 1/4

What is the sine of the angle whose arc cosine is 1/4?

• √3/2

• 1/2

• 1/4

• √15/4