Factor out of .

Apply the sine triple-angle identity.

Apply the distributive property.

Multiply by .

Multiply by .

Use the triple-angle identity to transform to .

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify each term.

Rewrite using the commutative property of multiplication.

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Simplify with factoring out.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Apply pythagorean identity.

Multiply by .

Subtract from .

Apply the distributive property.

Move .

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Multiply by .

Multiply by by adding the exponents.

Move .

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Multiply by .

Expand sin(6x)