Question

The value of $2\sin {30}^{\circ }\cos {30}^{\circ }$ is equal to

• A. $\tan {30}^{\circ }$
• B. $\cos {60}^{\circ }$
• C. $\sin {60}^{\circ }$
• D. $\cot {60}^{\circ }$

Answer 1

The correct option is C $\sin {60}^{\circ }$

$2\sin 30°\cos 30°$

$=2\times \frac{1}{2}\times \frac{\sqrt{3}}{2}$

$=\frac{\sqrt{3}}{2}$

$=\sin 60°$

Hence, the answer is $\sin 60°.$