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Math Help - hyberbolic manipulations

  1. #1
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    hyberbolic manipulations

    how do you show that if x = ln ( tan ( y)) then tanh x = - cos ( 2y)?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by alexandrabel90 View Post
    how do you show that if x = ln ( tan ( y)) then tanh x = - cos ( 2y)?
    Start by observing that:

    x=\ln(\tan(y))

    mean that:

    e^x=\tan(y)

    then use the definition of the hyperbolic functions in terms of the exponential function to proceed.

    CB
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