(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

((1/2)*sin(theta)*cos(phi) - I*(1/2)*sin(theta)*sin(phi))*exp(+I*phi)

should equal:

(1/2)*sin(theta)

Or:

((1/2)*sin(theta)*cos(phi) + I*(1/2)*sin(theta)*sin(phi))*exp(+I*phi)

should equal:

(1/2)*sin(theta)*exp(+2*I*phi)

I may add: Maple 9.5 cannot make the simplification:

exp(-I*phi)*exp(-I*phi) = exp(-2*I*phi);

...I'm trying to automate Maple recognizing this: use simplify(,trig) and simplify(,size). There does not seem to be a simplify(,euler) or simplify(,complex), where one can teach Maple to recognize that cancellation. It would make my life tons easier if there was a way to do that. It must exist...somewhere?

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# Maple 9.5 can't recognize exp(+I*phi) = cos(phi) + I*sin(phi)

Can you offer guidance or do you also need help?

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