# Math Help - Help verifying this ID?

1. ## Help verifying this ID?

sin³(3x) = ½(sin(3x))(1-cos(6x))

I'm just stumped...everything I've tried has turned into a complete mess. Thanks a bunch for any ideas!

2. Originally Posted by generalmeow
sin³(3x) = ½(sin(3x))(1-cos(6x))

I'm just stumped...everything I've tried has turned into a complete mess. Thanks a bunch for any ideas!
$\displaystyle \sin^3(3x)=\sin(3x)\sin^2(3x)=\sin(3x)\left[\frac{1}{2}(1-\cos(6x))\right]$

3. Originally Posted by generalmeow
sin³(3x) = ½(sin(3x))(1-cos(6x))

I'm just stumped...everything I've tried has turned into a complete mess. Thanks a bunch for any ideas!
For this one, show that RHS implies LHS.

For a hint, reference the spoiler.

Spoiler:
$\sin^2(\alpha)=\tfrac{1}{2}(1-\cos(2\alpha))$

EDIT: TES beat me!