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Math Help - Hyperbolic trig identity for tanh (2x) using exponential definitions

  1. #1
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    Hyperbolic trig identity for tanh (2x) using exponential definitions

    Hey,

    Using exponential definitions, show that

    tanh(2x)= (2tanh(x))/(1+tanh^2(x))

    Please help. Thanks
    Last edited by CaptainBlack; August 17th 2009 at 12:22 AM. Reason: to give thread a descriptive title
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  2. #2
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    Quote Originally Posted by defcon3 View Post
    Hey,

    Using exponential definitions, show that

    tanh(2x)= (2tanh(x))/(1+tanh^2(x))

    Please help. Thanks
    Start by writing down the exponential form for \tanh(2x) then do the same for the right hand side. Now simplify what you have for the right hand side and with luck you will find that it is the same as you had for \tanh(2x).

    So try this and report back if you get stuck.

    CB
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  3. #3
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    its alrite i got it.. thanks alot
    Last edited by defcon3; August 17th 2009 at 01:42 AM.
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