Question

Which is equivalent to sin⁻¹(tan( π/4)) ? Give your answer in radians.

Answer 1

The equivalent of sin⁻¹(tan(π/4)) in radians is π/2.

Step-by-step explanation:

The question asks for the equivalent of sin⁻¹(tan(π/4)) in radians.

To find this value, we can use the property that sin⁻¹(x) is equal to the angle whose sine is x.

Since tan(π/4) is equal to 1, sin⁻¹(tan(π/4)) is equal to sin⁻¹(1).

The sine function is equal to 1 at π/2 radians, so sin⁻¹(1) is equal to π/2 radians.

Therefore, the equivalent of sin⁻¹(tan(π/4)) in radians is π/2.