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Thread: More trig simplification

  1. October 15th 2012, 05:45 PM #1
    MajMinor
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    More trig simplification

    How would I simplify this expression:

    (1/2)cos(x/2)cosx+sinxsin(x/2)

    I can't find the identity to simplify.
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  2. October 15th 2012, 05:55 PM #2
    MarkFL
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    Re: More trig simplification

    Is it:

    \frac{1}{2}\left(\cos\left(\frac{x}{2} \right)\cos(x)+\sin(x)\sin\left(\frac{x}{2} \right) \right) ?
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  3. October 15th 2012, 05:58 PM #3
    MajMinor
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    Re: More trig simplification

    No, it's:

    (1/2)[cos(x/2)cosx]+sinxsin(x/2)
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  4. October 15th 2012, 06:07 PM #4
    MarkFL
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    Re: More trig simplification

    Okay, I just wanted to be sure. I would look at product-to-sum identities.
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