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Math Help - manipulation of equation

  1. #1
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    manipulation of equation

    how do i get from ln l tan (3 Pi /8) / tan (Pi/8) l to
    2ln (tan (3Pi/8))

    thanks!
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  2. #2
    Super Member
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    Quote Originally Posted by alexandrabel90 View Post
    how do i get from ln l tan (3 Pi /8) / tan (Pi/8) l to
    2ln (tan (3Pi/8))

    thanks!
    use

     \tan(x) = \frac{1}{\tan( \frac{\pi}{2} - x )}

     \tan(\frac{3\pi}{8}) = \frac{1}{\tan(\frac{\pi}{2} - \frac{3\pi}{8})}  = \frac{1}{\tan(\frac{\pi}{8})}


     \tan (3 \pi /8) / \tan (\pi/8) = \tan^2(\frac{3\pi}{8})
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