(adsbygoogle = window.adsbygoogle || []).push({}); 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)

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# Homework Help: Verify the hyperbolic identites

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