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Question: simplifying a specific trig equality

Question:simplifying a specific trig equality

Mac Dude 1566 Maple 2015
simplify pi simplification trig float
September 11 2021
1

In a calculation I am encountering expressions of the following kind:

-.27059805007310*sin(.12+epsilon)+.27059805007310*sqrt(1.-cos(.12+epsilon)^2)

As is known, for epsilon < Pi-0.12, the two terms are equal but opposite in sign and the result should be zero (ok, maybe a few 1E-15 for round-off). But for the heck of it I cannot get Maple to simplify this with the assumption e.g. epsilon < 0.1.

This can probably be simplified by squaring the two terms and then subtracting them, but that can possibly lead to other "interesting" effects and besides is a bit cumbersome.

Has anybody found a good way of  doing this?

Thanks,

M.D.
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