A) \[\frac{\pi }{6}\]
B) \[\frac{\pi }{4}\]
C) \[\frac{\pi }{3}\]
D) \[\frac{\pi }{2}\]
Correct Answer: B
Solution :
\[{{\sin }^{-1}}\frac{1}{\sqrt{5}}+{{\cot }^{-1}}3={{\cot }^{-1}}\left( \frac{\sqrt{1-\frac{1}{5}}}{\frac{1}{\sqrt{5}}} \right)+{{\cot }^{-1}}3\] \[={{\cot }^{-1}}(2)+{{\cot }^{-1}}(3)={{\cot }^{-1}}\left( \frac{2\times 3-1}{3+2} \right)={{\cot }^{-1}}(1)=\frac{\pi }{4}\].
You need to login to perform this action.
You will be redirected in
3 sec
