Give the hyperbolic identity that corresponds to the trigonometric identity sin²(x) = 1 − cos(2x)

2

.
sinh²(x) =

Question

Give the hyperbolic identity that corresponds to the trigonometric identity sin2(x) = 1 − cos(2x)

2
.sinh2(x) =

Yefim S. · Accepted Answer

sin2(x) = (1 - cos(2x))/2sinh2(x) = (cosh(2x) - 1)/2 (ex - e-x)2/4 = (e2x + e-2x - 2)/4 = (cosh(2x) - 1)/2

Give the hyperbolic identity that corresponds to the trigonometric identity sin2(x) = 1 − cos(2x) 2 . sinh2(x) =