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Maclaurin Series for sin²(x) | JK Math

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How To Find the Maclaurin Series for sin²(x)

In this video we look at how to find the Maclaurin series for the function f(x)=sin^2(x) using a trigonometric identity and common Maclaurin series.
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Video Chapters:
0:00 Step 1: Rewrite Using Trig Identity
1:06 Step 2: Recall Common Maclaurin Series for cos(x)
2:08 Step 3: Mac. Series for cos(2x)
3:36 Step 4: Mac. Series for -(1/2)cos(2x)
6:01 Step 5: Mac. Series for 1/2-(1/2)cos(2x)
7:27 Step 6: Simplify Answer!
13:26 Step 7: Interval & Radius of Convergence
More Videos on Taylor & Maclaurin Series:

⏩ Lesson Video: https://youtu.be/ycAqWuiuK4k

⏩ Examples Video: https://youtu.be/jbrhLbzlKlw
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#calculus

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