A) \[\pi /2\]
B) \[{{\cos }^{-1}}4/5\]
C) \[\pi \]
D) \[\pi /4\]
Correct Answer: D
Solution :
\[{{\sin }^{-1}}\frac{3}{5}+{{\tan }^{-1}}\frac{1}{7}\] \[={{\tan }^{-1}}\frac{3}{4}+{{\tan }^{-1}}\frac{1}{7}\] \[={{\tan }^{-1}}\left( \frac{\frac{3}{4}+\frac{1}{7}}{1-\frac{3}{4}.\frac{1}{7}} \right)\] \[={{\tan }^{-1}}\left( \frac{25}{25} \right)={{\tan }^{-1}}(1)\] \[=\frac{\pi }{4}\]
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