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Real and imaginary part of an expression with assumptions on variables


I have this expression:

Exp[-(x+I*y)*sinh(t/(1-t)) - nu * t/(1-t)] * 1/(1-t)

All variables are real except nu which is a complex number. I want the real part and the imaginary part of this expression. I tried with Wolfram Alpha and either it assumes all variables are complex, or, of I specify some Assumptions, it does not return the result. Is it possible with Sage ? I'm very new to Sage. I'm new to GIAC too and I didn't found how to force a variable to be real.