A) 3
B) -3
C) \[\frac{1}{3}\]
D) \[-\frac{1}{3}\]
Correct Answer: A
Solution :
Given, \[{{\tan }^{-1}}x={{\sin }^{-1}}\left[ \frac{3}{\sqrt{10}} \right]\] Þ \[x=\tan \left\{ {{\sin }^{-1}}\left[ \frac{3}{\sqrt{10}} \right] \right\}\,=\tan \,\,\{{{\tan }^{-1}}3\}\]Þ x = 3.You need to login to perform this action.
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