A) \[1-\sin 30{}^\circ \sin 60{}^\circ \]
B) \[1-\cos 30{}^\circ \sin 60{}^\circ \]
C) \[1-\cos 30{}^\circ \cos 60{}^\circ \]
D) \[1-\sin 30{}^\circ \cos 60{}^\circ \]
Correct Answer: B
Solution :
\[\sin 30{}^\circ \cos 60{}^\circ =\frac{1}{2}\cdot \frac{1}{2}=\frac{1}{4}\] and \[\cos 30{}^\circ \sin 60{}^\circ =\frac{\sqrt{3}}{2}\cdot \frac{\sqrt{3}}{2}=\frac{3}{4}\] \[\therefore \] \[\sin 30{}^\circ \cos 60{}^\circ =\frac{1}{4}=1-\frac{3}{4}-\cos 30{}^\circ \sin 60{}^\circ \]
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