Question

See the question in the screenshot below:

Answer 1

`\sin(30\textdegree)`

`(1)/(2)`

Explanation:

Use the sine double angle formula in reverse.

`2\sin(\theta)\cos(\theta) = \sin(2\theta)`

Plug in the given expression to get a simplified result.

`2\sin(15\textdegree)\cos(15\textdegree) = \sin(2 \cdot 15\textdegree)`

`= \sin(30\textdegree)`

`= (1)/(2)`