A) \[{{\sin }^{-1}}\left( \frac{4}{5} \right)\]
B) \[ta{{n}^{-1}}\left( \frac{5}{3} \right)\]
C) \[{{\tan }^{-1}}\left( \frac{3}{4} \right)\]
D) \[{{\tan }^{-1}}\left( \frac{4}{3} \right)\]
Correct Answer: B
Solution :
Palarising angle, \[\tan i=\frac{1}{\sin C}\] \[\therefore \] \[\cot i=\sin \left( {{\sin }^{-1}}\left( \frac{3}{5} \right) \right)\] or \[\tan i=\frac{5}{3}\] or \[i={{\tan }^{-1}}\left( \frac{5}{3} \right)\]
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