A) \[\frac{2}{\sqrt{3}}\]
B) \[\frac{\sqrt{6}}{12}\]
C) \[\sqrt{\frac{2}{3}}\]
D) \[2\sqrt{3}\]
Correct Answer: D
Solution :
\[?=\frac{\sin 30{}^\circ \cos 45{}^\circ }{\tan 60{}^\circ }\] \[=\frac{\frac{1}{2}\times \frac{1}{\sqrt{2}}}{\sqrt{3}}=\frac{1}{2\sqrt{6}}\times \frac{\sqrt{6}}{\sqrt{6}}\] \[=\frac{\sqrt{6}}{12}\]
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