Use a Maclaurin series derived in class to obtain the Maclaurin series for the given function: (1-cos2x)/2.  I don't know how can I apply the Maclaurin series for cosx here. Please help me by showing a detailed solution.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Use a Maclaurin series derived in class to obtain the Maclaurin series for the given function:

(1-cos2x)/2. 

I don't know how can I apply the Maclaurin series for cosx here. Please help me by showing a detailed solution. 

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