Question

`sin^-1x + sin^-1  1/x + cos^-1x + cos^-1  1/x` = ______

पर्याय

• π

• `pi/2`

• `(3pi)/2`

• `(2pi)/3`

Answer 1

`sin^-1x + sin^-1  1/x + cos^-1x + cos^-1  1/x` = π

Explanation:

`sin^-1x + sin^-1  1/x + cos^-1x + cos^-1  1/x` 

= `{sin^-1(x) + cos^-1(x)} + {sin^-1(1/x) + cos^-1(1/x)}`

= `pi/2 + pi/2 = pi`