Question

Solve ${\cos }^{-1}\left(\frac{36}{85}\right)+{\sin }^{-1}\left(\frac{36}{85}\right)$

Answer 1

Applying the identity ${\sin }^{-1}\theta +{\cos }^{-1}\theta =\frac{\pi }{2}$ in ${\cos }^{-1}\left(\frac{36}{85}\right)+{\sin }^{-1}\left(\frac{36}{85}\right)$.

${\cos }^{-1}\left(\frac{36}{85}\right)+{\sin }^{-1}\left(\frac{36}{85}\right)=\frac{\pi }{2}$