Question

Which is equivalent to sin-1(0)? give your answer in radians.

a) 0
b) π/2
c)3π/2
d) 5π/2

Answer 1

= sin⁻¹(0)

= 0° or 180° or 360°

= 0 radians or π radians, or 2π radians

Answer = a

Answer 2

The correct option is a.

Explanation:

The given expression is

`\sin^(-1)(0)`

Let the value of the given expression in radian be θ.

`\sin^(-1)(0)=\theta`

`(0)=sin(\theta)`

Since the value of sinθ is 0, therefore the value of θ is in the form of

`\theta=n\pi`

Where n can be any integer.

At n=0, the value of θ is 0, therefore the option a is correct.

Since n is an integer, therefore the coefficient of π can not be a fraction value.