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Math Help - Help verifying this ID?

  1. #1
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    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!
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by generalmeow View Post
    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]
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  3. #3
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by generalmeow View Post
    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!
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