# Expand sin(6x) Factor out of .
Apply the sine triple-angle identity.
Apply the distributive property.
Multiply.
Multiply by .
Multiply by .
Use the triple-angle identity to transform to .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify terms.
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.
Simplify by multiplying through.
Multiply by .
Subtract from .
Apply the distributive property.
Multiply by by adding the exponents.
Move .
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Multiply by .
Simplify each term.
Multiply by by adding the exponents.
Move .
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.     