`sin^(-1)(sqrt3/2) + 2 cos^(-1)(sqrt3/2)` का मान है

Options

A. `pi/4`
B. `pi/2`
C. `(2pi)/3`
D. `pi/3`

Answer

C

Explanation

माना `sin^(-1)(sqrt3/2)=A`, तब `sqrt3/2 = sin A`
अतः ` A = 60^(@) = pi/3`
तथा ` cos^(-1)sqrt3/2 = B rArr sqrt3/2 = cos B`
तब ` B = 30^(@) = pi/6`
, ` :. sin^(-1)(sqrt3/2)+ 2 cos^(-1)(sqrt3/2) = (2pi)/3`