A) \[\frac{\pi }{2}\]
B) \[\frac{\pi }{3}\]
C) \[\frac{\pi }{4}\]
D) None of these
Correct Answer: A
Solution :
\[{{\sin }^{-1}}\frac{4}{5}={{\tan }^{-1}}\frac{4}{3},\text{ }2{{\tan }^{-1}}\frac{1}{3}={{\tan }^{-1}}\frac{3}{4}={{\cot }^{-1}}\frac{4}{3}\]and \[{{\tan }^{-1}}x+{{\cot }^{-1}}x=\frac{\pi }{2}\].
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