Question

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

Answer 1

`2sin(30^@)cos(30^@)=sin(60^@)=sqrt(3)/2`

Explanation:

Use the identity

• `sin(2x)=2sin(x)cos(x)`

Applying this identity to your example

`2sin(30^@)cos(30^@)=sin(2*30^@)=sin(60^@)=sqrt(3)/2`