Question

If `sinh x = 3/2`, how do you find exact values for cosh x and tanh x?

Answer 1

`cosh x=sqrt13/2`.

`tanh x=3/sqrt13`.

Explanation:

WE know that, `cosh^2x-sinh^2x=1`.

Hence, `cosh^2x=sinh^2x+1=(3/2)^2+1=13/4`

`:. cosh x=sqrt13/2`.

`tanh x=sinh x/cosh x=3/sqrt13`.