# Write each expression as a single angle and evaluate if possible? 2Sin30°Cos30°

Mar 8, 2018

$2 \sin \left({30}^{\circ}\right) \cos \left({30}^{\circ}\right) = \sin \left({60}^{\circ}\right) = \frac{\sqrt{3}}{2}$

#### Explanation:

Use the identity

• $\sin \left(2 x\right) = 2 \sin \left(x\right) \cos \left(x\right)$

Applying this identity to your example

$2 \sin \left({30}^{\circ}\right) \cos \left({30}^{\circ}\right) = \sin \left(2 \cdot {30}^{\circ}\right) = \sin \left({60}^{\circ}\right) = \frac{\sqrt{3}}{2}$