Question

The value of `sin^-1[cos(pi/3)] + sin^-1[tan((5pi)/4)]` is ______.

पर्याय

• `pi/3`

• `pi/2`

• `(2pi)/3`

• π

Answer 1

The value of `sin^-1[cos(pi/3)] + sin^-1[tan((5pi)/4)]` is `(2pi)/3`.

Explanation:

`sin^-1[cos(pi/3)] + sin^-1[tan((5pi)/4)]`

= `sin^1 (1/2) + sin^-1 (1)`

= `pi/6 + pi/2`

= `(2pi)/3`