Trigonometry Examples

$\sin (6 x) = 2 \sin (3 x) \cos (3 x)$

Step 1

Start on the right side.

$2 \sin (3 x) \cos (3 x)$

Step 2

Simplify the expression.

Tap for more steps...

Step 2.1

Apply the sine double-angle identity.

$\sin (2 (3 x))$

Step 2.2

Multiply $3$ by $2$ .

$\sin (6 x)$

Step 3

Because the two sides have been shown to be equivalent, the equation is an identity.

$\sin (6 x) = 2 \sin (3 x) \cos (3 x)$ is an identity