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Math Help - trigo question

  1. #1
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    trigo question

    cosec\theta= cot\frac{\theta}{2}-cot \theta

    cosec 2 \theta=cot \theta-cot 2 \theta

     <br />
cosec 3 \theta = cot\frac{3 \theta}{2}- \cot 3 \theta <br />

    I am not sure if the above is possible . Can i do that for the \theta above ? By just altering the theta like that ?
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  2. #2
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    Quote Originally Posted by thereddevils View Post
    cosec\theta= cot\frac{\theta}{2}-cot \theta

    cosec 2 \theta=cot \theta-cot 2 \theta

     <br />
cosec 3 \theta = cot\frac{3 \theta}{2}- \cot 3 \theta <br />

    I am not sure if the above is possible . Can i do that for the \theta above ? By just altering the theta like that ?
    It's just substitution.

    Usually better form to use a different variable, like let \theta = 2\alpha or \theta = 3\beta

    \csc{\theta}= \cot{\frac{\theta}{2}}-\cot{\theta}

    \csc{2\alpha}= \cot{\alpha}-\cot{2\alpha}

    \csc{3\beta}= \cot{\frac{3\beta}{2}}-\cot{3\beta}
    Last edited by skeeter; August 10th 2009 at 09:00 AM.
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