Question

If the value of expression $\sin ^{-1}\left(\sin 2017^{\circ}\right)+\cos ^{-1}\left(\cos 2017^{\circ}\right)+\tan ^{-1}\left(\tan 2017^{\circ}\right)$ is equal to $k ^{\circ}$, where $k \in N$ then $k$ is not divisible by

• A. 1
• B. 3
• C. 11
• D. 13

Answer 1

Answer: (B)

Given expression $=-\sin ^{-1}\left(\sin 37^{\circ}\right)+\pi-\cos ^{-1}\left(\cos 37^{\circ}\right)+\tan ^{-1}\left(\tan 37^{\circ}\right)$
$=\pi-37^{\circ}=143^{\circ} $
$\therefore k =143$