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Question: simplify an expression with exp(ix) and exp(-ix)

Question:simplify an expression with exp(ix) and exp(-ix)

ftalat 16 Maple
October 10 2007
0
How do I force maple to simplify an expression containing exp(ix) and exp(-ix) to an expression contating sin(x) and cos(x) (if possible). Example: I want maple to recognize a*exp(I*x)+a*exp(-I*x) as 2*a*cos(x) or (slightly more complicated) to recognize -I*(1-exp(-2*I*x))/(1+exp(-2*I*x)) as sin(x)/cos(x) or tan(x)
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