Since is on the right side of the equation, switch the sides so it is on the left side of the equation.

Move to the left side of the equation by subtracting it from both sides.

Apply the sine double–angle identity.

Multiply by .

Remove parentheses around .

Subtract from .

Move to the left side of the equation by subtracting it from both sides.

Apply the sine double–angle identity.

Multiply by .

Remove parentheses around .

Subtract from .

Apply the sine double–angle identity.

Subtract from both sides of the equation.

Subtract from .

Since , the equation will always be true for any value of .

All real numbers

Solve for x sin(2x)=2sin(x)cos(x)