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

Move .

Apply the cosine double–angle identity.

Simplify by adding terms.

Multiply by .

Subtract from .

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

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

Solve for x 1-cos(12x)=2sin(6x)^2