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