- #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