Question

The principal value of `sin^-1 (sin  (3pi)/4)` is ______.

विकल्प

• `pi/4`

• `(3pi)/4`

• `- pi/4`

• `(5pi)/4`

Answer 1

The principal value of `sin^-1 (sin  (3pi)/4)` is `underline(pi/4)`.

Explanaion:

`sin^-1 (sin  (3pi)/4) = sin^-1 [sin (pi - pi/4)]`

`= sin^-1 (sin  pi/4)   ....[because sin (pi - theta) = sin theta]`

`= pi/4`