Question

Solve: $y=5^{(ta{n}^{-1}x+{\cot }^{-1}x{)}^2}$

Answer 1

$Y=5^{({\tan }^{-1}x+{\cot }^{-1}x{)}^2}$

$Y=5^{(\pi /2{)}^2}$ ($\because {\tan }^{-1}x+{\cot }^{-1}x=\pi /2)$

$Y=5^{{\pi }^2/4}$

$\therefore Y=5^{{\pi }^2/4}$