Question

`sin^(-1)(sin""(7pi)/(4))` का मुख्य मान ज्ञात कीजिए।

Answer 1

`sin""(7pi)/(4)=sin(2pi-(pi)/(4))=sin""(pi)/(4)=-(1)/(sqrt2)`
`:.sin^(-1)(sin""(7pi)/(4))=sin^(-1)(-(1)/(sqrt2))=-sin^(-1)""(1)/(sqrt2)`
`=-sin^(-1)(sin""(pi)/(4))=-(pi)/(4)`