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Math Help - trig identity verifying need help

  1. #1
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    Unhappy trig identity verifying need help

    cscx=(cot(x/2))/(1-cosx)
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  2. #2
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    Re: trig identity verifying need help

    Hey thegurn.

    Hint: What are the identities for tan(x/2) in terms of sine and cosine?
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  3. #3
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    Re: trig identity verifying need help

    The best way to start is to write all the identities of sin and cosin, simplify, and then consider what identities you might need.
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  4. #4
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    Re: trig identity verifying need help

    Quote Originally Posted by thegurn View Post
    cscx=(cot(x/2))/(1-cosx)
    Check the problem. There must be some misprint.
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  5. #5
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    Re: trig identity verifying need help

    so there's no way to solve it as is?
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  6. #6
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    Re: trig identity verifying need help

    The identity is true when the problem is
    cscx = cot(x/2)/(1+cosx)
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  7. #7
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    Re: trig identity verifying need help

    The identity is cscx = ( cot (x/2))/(1+cosx) = ( cos (x/2)/ sin ( x/2))/ [2 cos^2 ( x/2) ] [ Because cos 2a = 2cos^2A-1]
    Which on simplification gives cscx
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