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Math Help - trigo inverse problem

  1. #1
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    trigo inverse problem

    value of tan(sec(inverse) 2)*tan(sec(inverse) 2)+cot(cosec(inverse)3)*cot(cosec(inverse)3)
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  2. #2
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    \displaystyle \tan^2{(\sec^{-1}{2})} + \cot^2{(\csc{3})} = \sec^2{(\sec^{-1}{2})} - 1 + \csc^2{(\csc^{-1}{3})} - 1

    \displaystyle = 2^2 + 3^2 - 2

    \displaystyle = 4 + 9 - 2

    \displaystyle = 11.
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  3. #3
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    Consider this

    \displaystyle \tan \sec^{-1} (2)

    and

    \displaystyle  x= \sec^{-1}2=

    \displaystyle  \sec x=2

    \displaystyle  \frac{1}{\cos x}=2

    \displaystyle  \frac{1}{2}=\cos x

    \displaystyle  x=\frac{\pi}{3}

    \displaystyle \tan \frac{\pi}{3} = \dots
    Last edited by pickslides; January 19th 2011 at 10:08 PM. Reason: bad latex...
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