A) \[\frac{3}{5}\]
B) \[\frac{5}{3}\]
C) \[\frac{9}{25}\]
D) \[\frac{25}{9}\]
Correct Answer: C
Solution :
\[{{\left[ \sin \,\left( {{\tan }^{-1}}\frac{3}{4} \right) \right]}^{2}}={{\left[ \sin \,\left( {{\sin }^{-1}}\frac{3}{5} \right) \right]}^{2}}={{\left( \frac{3}{5} \right)}^{2}}=\frac{9}{25}\].
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