Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

$2{\tan }^{-1}(1/3)={\tan }^{-1}(3/4)={\sin }^{-1}(3/5)=\pi /2-{\sin }^{-1}(4/5)$, proving A and C. Also ${\tan }^{-1}(1/3)+{\tan }^{-1}(1/2)=\pi /4$ and ${\cot }^{-1}$ $2={\tan }^{-1}(1/2)$, proving B. D equals ${\tan }^{-1}3$, not ${\tan }^{-1}(1/3)$.