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Verify the hyperbolic identites

  1. Sep 21, 2011 #1
    1. The problem statement, all variables and given/known data

    verify these identities:

    1) tanh^2 x + sech^2 x =1
    2) sinh(x+y) = sinh cosh y + cosh x sinh y


    2. Relevant equations

    cosh2x - sinh2x = 1
    sech2x + tanh2x = 1
    coth2x - csch2x = 1

    sinh (x ± y) = sinh x cosh y ± cosh x sinh y
    cosh (x ± y) = cosh x cosh y ± sinh x sinh y
    tanh(x ± y) = (tanh x ± tanh y)/(1 ± tanh x.tanh y)
    coth(x ± y) = (coth x coth y ± l)/(coth y ± coth x)
     
  2. jcsd
  3. Sep 21, 2011 #2
    Um, the identities are given to you in your "relevant equations." What is it you are asking?
     
  4. Sep 21, 2011 #3
    Pretty sure you are suppose to show us what you did first..
     
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