A) \[{{\tan }^{-1}}(\sqrt{3/2})\]
B) \[{{\tan }^{-1}}(\sqrt{3})\]
C) \[{{\tan }^{-1}}(\sqrt{2/3})\]
D) \[{{\tan }^{-1}}(2/\sqrt{3})\]
Correct Answer: D
Solution :
\[\tan \delta =\frac{\tan \delta }{\cos \theta }\] \[=\frac{\tan 45{}^\circ }{\cos 30{}^\circ }\] \[\tan \delta =\frac{1}{\sqrt{3}/2}=\frac{2}{\sqrt{3}}\] \[\therefore \] \[\delta ={{\tan }^{-1}}\left( \frac{2}{\sqrt{3}} \right)\]
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