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

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Answer 1 · 2016-08-25T16:31:42

$cosh x=sqrt13/2$ .

$tanh x=3/sqrt13$ .

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

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

$:. cosh x=sqrt13/2$ .

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

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