Question

सिद्ध कीजिए -
`sin^(-1)(sin""(3pi)/(3))=(pi)/(4)`

Answer 1

मान `y=sin^(-1)(sin""(3pi)/(4))`
अब ` sin((3pi)/(4))=sin(pi-(pi)/(4))implies sin((3pi)/(4))=sin""(pi)/(4)`
`:. sin^(-1)(sin""(3pi)/(4))=sin^(-1)(sin""(pi)/(4))`
`implies sin^(-1)(sin""(3pi)/(4))=(pi)/(4)`