A) \[45{}^\circ \]
B) \[54{}^\circ \]
C) \[60{}^\circ \]
D) \[72{}^\circ \]
E) \[75{}^\circ \]
Correct Answer: E
Solution :
Given, \[sin\theta =sin\text{ }15{}^\circ +sin\text{ }45{}^\circ \] \[=2\sin 30{}^\circ \cos 15{}^\circ =2\times \frac{1}{2}\times \cos (90{}^\circ -75{}^\circ )\] \[\Rightarrow \]\[\sin \theta =\sin 75{}^\circ \Rightarrow \theta =75{}^\circ \]
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