hi im going through some past papers and im really struggling with this trig question. prove that sec^2 x - cosec^2 x = tan^2 x - cot^x cheers
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Originally Posted by brooksy hi im going through some past papers and im really struggling with this trig question. prove that sec^2 x - cosec^2 x = tan^2 x - cot^x cheers $\displaystyle 1+\tan^2x=\sec^2x$ and $\displaystyle 1+\cot^2x=\csc^2x$ $\displaystyle LHS=\sec^2 x - \csc^2 x$ $\displaystyle =1+\tan^2x-1-\cot^2x=\tan^2 x - \cot^2x=RHS$ Note that csc is same as cosec
Last edited by great_math; Dec 1st 2008 at 03:55 AM.
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