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Math Help - Prove Id

  1. #1
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    Prove Id

    sec^2 = 1 + tan^2

    or

    csc^2 = 1 + cot^2
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by reallylongnickname View Post
    sec^2 = 1 + tan^2

    or

    csc^2 = 1 + cot^2
    Just divide the Pythagorean identity by cosine

    \sin^2(x)+\cos^2(x)=1 \iff \frac{\sin^2(x)}{\cos^2(x)}+\frac{\cos^2(x)}{\cos^  2(x)}=\frac{1}{\cos^2(x)}

    Now just simplify

    See if you can get other one
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  3. #3
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     csc^2(x) = 1 + cot^2(x)\longleftrightarrow \frac{1}{ sin^2(x)}-\frac{cos^2(x)}{sin^2(x)} = 1
    Last edited by reallylongnickname; May 12th 2011 at 06:55 PM.
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