hyperbolic functions

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if sinh(x)=4, then tanh(x)=?

Guest Sep 23, 2016

edited by Guest Sep 23, 2016
edited by Guest Sep 23, 2016

CPhill · Answer 1 · 2016-09-23T08:34:57

We have the identity that :

cosh²(x) - sinh²(x) = 1

cosh²(x) - 4^2 = 1

cosh²(x) = 1 + 4^2

cosh²(x) = 17

cosh(x) = ± √(17)

And

tanh(x) = sinh(x)/cosh(x) ....so......

tanh(x) = ± 4/ √(17)