Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

$\begin{array}{rl}& \cos \left({\sin }^{-1}\frac{3}{5}+{\sin }^{-1}\frac{5}{13}+{\sin }^{-1}\frac{33}{65}\right)\\ & \cos \left({\tan }^{-1}\frac{3}{4}+{\tan }^{-1}\frac{5}{12}+{\tan }^{-1}\frac{33}{56}\right)\\ & \cos \left({\tan }^{-1}\left(\frac{\frac{3}{4}+\frac{5}{12}}{1+\frac{3}{4}\cdot \frac{5}{12}}\right)+{\tan }^{-1}\frac{33}{56}\right)\\ & \cos \left({\tan }^{-1}\frac{56}{33}+{\cot }^{-1}\frac{56}{33}\right)\\ & \cos \left(\frac{\pi }{2}\right)=0\end{array}$