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Thread: simplify the expression

  1. #1
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    simplify the expression

    (1 + cos 2x)/1- cos 2x)
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  2. #2
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    Re: simplify the expression

    $\dfrac{1+\cos(2x)}{1-\cos(2x)} = \dfrac{1+\cos(2x)}{2} \cdot \dfrac{2}{1-\cos(2x)} = \dfrac{\cos^2{x}}{\sin^2{x}} = \cot^2{x}$
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  3. #3
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    Re: simplify the expression

    skeeter used the identities that cos(2x)= 2 cos^2(x)- 1 so that 1+ cos(2x)= 2 cos^2(x) and cos(2x)= 1- 2 sin^2(x) so that 1- cos(2x)=  2sin^2(x).
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