Question

The principal value of `sin^-1 ((-sqrt(3))/2)` is ______.

विकल्प

• `- (2pi)/3`

• `-pi/3`

• `(4pi)/3`

• `(5pi)/3`

Answer 1

The principal value of `sin^-1 ((-sqrt(3))/2)` is `-pi/3`.

Explanation:

`sin^-1 ((-sqrt(3))/2) = sin^-1 (- sin  pi/3)`

= `- sin^-1 (sin  pi/3)`

= `- pi/3`.