A) \[{{\tan }^{-1}}\left( 2 \right)\]
B) \[{{\tan }^{-1}}\left( \frac{1}{2} \right)\]
C) \[{{\tan }^{-1}}\left( \sqrt{2} \right)\]
D) \[{{\tan }^{-1}}\left( \frac{1}{\sqrt{2}} \right)\]
Correct Answer: C
Solution :
Here, \[\alpha +\theta ={{90}^{o}}\] \[\tan \alpha =\frac{1}{2}\tan \theta \] or \[\tan \theta =2\tan \alpha \] or \[\tan \theta =2\tan \alpha ({{90}^{o}}-\theta )\] or \[{{\tan }^{2}}\theta =2\] or \[\tan \theta =\sqrt{2}\]You need to login to perform this action.
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