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Math Help - Identity

  1. #1
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    Identity

    Use the Pythagorean identity sin squared theta + cos squared theta = 1 to show that 1 + cot squared theta = csc squared theta.
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  2. #2
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    Hi

    This is not a difficult one

    1 + \cot^2 \theta = 1 + \frac{\cos^2 \theta}{\sin^2 \theta}

    Use the same denominator and the identity \cos^2 \theta + \sin^2 \theta = 1
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  3. #3
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    mind elaborating on that?
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  4. #4
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    1 + \cot^2 \theta = 1 + \frac{\cos^2 \theta}{\sin^2 \theta} = \frac{\sin^2 \theta + \cos^2 \theta}{\sin^2 \theta} = \frac{1}{\sin^2 \theta} = \csc^2 \theta
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