Convert exponential form to hyperbolic functions

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That's a {{{Maxima}}} bug :

sage: [(t,t(x)._maxima_().exponentialize().demoivre().sage()) for t in [sin,cos,
....: tan,sinh,cosh,tanh]]

[(sin, sin(x)),
 (cos, cos(x)),
 (tan, sin(x)/cos(x)),
 (sinh, -1/2*e^(-x) + 1/2*e^x),
 (cosh, 1/2*e^(-x) + 1/2*e^x),
 (tanh, -(e^(-x) - e^x)/(e^(-x) + e^x))]

The same is still present in 5.40.0 (as packaged by Debian).

This is now Trac#24231, also reported as Maxima's bug #3358

Thanks for reporting !