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Student Support Forum: 'Simplifying a result.' topicStudent Support Forum > General > Archives > "Simplifying a result."

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Pigkappa
01/27/12 8:39pm

I'm using the Series function to obtain the Taylor expansion of some complicated functions. For example:

Simplify[Series[Cos[2*ArcTan[Sqrt[(1 + e)/(1 - e)]*Tan[(A + e*Sin[A] + (1/2)*e^2*Sin[2*A])/2]]], {e, 0, 2}]]

I already know the result I should obtain can be expressed in term of Cos(A), Cos(2A) and Cos(3A). Is there a simple way I can force Mathematica to express it this way?

Since the result is quite simple in this case, I can convert it by hand to the expression I want, but that would become quite hard when working at higher orders.

Thank you for any help!

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Subject (listing for 'Simplifying a result.')
Author Date Posted
Simplifying a result. Pigkappa 01/27/12 8:39pm
Re: Simplifying a result. Peter Pein 01/29/12 10:56am
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