Simplification of trigonometric expressions is one area where computer algebra systems have yet to catch up with human experience. Experienced Maple users know that Maple prefers powers of cosine to powers of sine and powers of secant to powers of tangent. This is adequate for many situations. There are a variety of tools available within Maple that can be used to put expressions into another form. One example is convert( ..., sincos ). This conversion replace all trigonometric terms with an equivalent term involving only sine and cosine (and all hyperbolic terms with equivalent terms involving only sinh and cosh). Until now, there has been no analog for secant and tangent. Last week it dawned on me that I could probably create such a conversion. All I had to do was look at the current implementation of convert/sincos and create convert/sectan - with appropriate modifications. I am making my implementation of convert/sectan available here on MaplePrimes: View 178_convert-sectan.mw on MapleNet or Download 178_convert-sectan.mw
View file details Comments and suggestions are welcomed. I would hope this - and other similar conversions - could be included in upcoming releases of Maple. Thanks for reading, and have a great day! Doug

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