Sin inverse (tan 3pi/4)

Dear student

let x = \sin^{- 1} (\tan \frac{3 π}{4}) sinx = \tan \frac{3 π}{4} = \tan (\frac{π}{4} + \frac{π}{2}) = - \cot \frac{π}{4} = - 1 sinx = \sin (\frac{- π}{2}) x = \sin (\sin (\frac{- π}{2})) = \frac{- π}{2}

Regards