Given the expression:
[tex]\sin ^{-1}(\sin \frac{3\pi}{4})[/tex]The exact value of:
[tex]\sin (\frac{3\pi}{4})=\frac{1}{\sqrt[]{2}}[/tex]Then:
[tex]\sin ^{-1}(\sin \frac{3\pi}{4})=\sin ^{-1}(\frac{1}{\sqrt[]{2}})[/tex]Evaluating, we have:
[tex]\frac{\pi}{4}[/tex]
