Find the Exact Value 2sin(15 degrees )cos(15 degrees )

$2 \sin (15 °) \cos (15 °)$

Step 1

Apply the sine double-angle identity.

$\sin (2 \cdot 15 °)$

Step 2

Multiply $2$ by $15 °$ .

$\sin (30)$

Step 3

The exact value of $\sin (30)$ is $\frac{1}{2}$ .

$\frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$