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Math Help - simplifying

  1. #1
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    simplifying

    I want to simplify the expression to the expression given by Wolfram. It does not give the steps. Can I have a hint?
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  2. #2
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    e^(i*pi)'s Avatar
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    Re: simplifying

    Quote Originally Posted by Stuck Man View Post
    I want to simplify the expression to the expression given by Wolfram. It does not give the steps. Can I have a hint?
    Posting both the original expression and Wolfram's attempt would be a good start
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  4. #4
    Super Member Quacky's Avatar
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    Re: simplifying

    Are you having a laugh? It's this:

    \frac{(2cosx+cos2x)(2cosx+2cos2x)-(2sinx+sin2x)(-2sinx-2sin2x)}{(2cosx+cos2x)^2+(2sinx+sin2x)^2}? I can't see a fast approach, but I assume there must be one.
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  5. #5
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    Re: simplifying

    The question is "Express the derivative of arctan((2sinx+sin2x)/(2cosx+cos2x)) in terms of cos x."
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  6. #6
    Super Member Quacky's Avatar
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    Re: simplifying

    Honestly, I'm struggling to find a shortcut. Expanding and simplifying the brackets reduces the number of terms, but it's a complete mess.
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