- #1
SYoungblood
- 64
- 1
Homework Statement
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Write cos^2(x) as a Taylor series
Homework Equations
f(x) = cos^2(x)
The Attempt at a Solution
I am stumped.
The cosine function as a Taylor series is 1 - (x^2/2!) + (x^4/4!) - (x^6/6!) + (x^8/8!) - (x^10/10!) + …
I have to express it as cos^2(x) and I am making a pig's ear out of it. This problem is to evaluate the integral between an upper and lower limit, that I will work at finding on my own, but I can't even seem to get the Taylor series right.
I tried 1^2 - (x^2/2!)^2 + (x^4/4!)^2 - (x^6/6!)^2 + (x^8/8!)^2 - (x^10/10!)^2 + …
and turned this into a total mess.
Tahnk you for your help in advance.
SY