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Question: simplification of complex exponentials

Question:simplification of complex exponentials

gataric 10 Maple
exponential simplification
October 14 2014
2

How do I make "simplify" function to recognize complex exponentials. Maple created some exponentiol functions with a square root of negative expression in the denominator of the exponent. It refuses to simplify it. If I manually edit it, by taking negative sign under the root and adding immaginary number, the simplification works. How do I simplify it without manual edit?

The Eq 33 is manually edited line. Simplify function correctly uses cos function.

The Eq 34 is original expression. I tried to tell maple to assume real numbers hoping that it will wotk, but it did not.
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