Question

Tanhx=(e²x)-1)/(e²x)+1) First, write tanhx in terms of sinhx and c

Answer 1

To write tanh x in terms of sinh x and cosh x, use the identity tanh x = sinh x / cosh x. Substitute the definitions of sinh x and cosh x to obtain tanh x = (e^x - e^(-x)) / (e^x + e^(-x)).

Step-by-step explanation:

To write tanh x in terms of sinh x and cosh x, we can use the following identities:

tanh x = sinh x / cosh x

Using the definitions of sinh x and cosh x, we have:

tanh x = (e^x - e^(-x)) / (e^x + e^(-x))

Therefore, tanh x can be expressed in terms of sinh x and cosh x as tanh x = sinh x / cosh x = (e^x - e^(-x)) / (e^x + e^(-x)).