❖ Taylor / Maclaurin Series for Sin (x) ❖

📚 Maclaurin Series for sin(x) – Step-by-Step Example 📚

In this video, I show how to find the Maclaurin series expansion for the function f(x) = sin(x), centered at a = 0. This example walks through the process of calculating the necessary derivatives and using them to construct the series. The same process can also be applied to find the Maclaurin series for cos(x)!

🚀 What’s covered:

Understanding the Maclaurin series as a special case of the Taylor series when a = 0.
Step-by-step calculation of the derivatives of sin(x) at x = 0.
Constructing the series using the Maclaurin series formula and identifying the pattern for sine functions.
A quick note that a similar process works for cos(x) as well!
By the end of this video, you’ll understand how to calculate the Maclaurin series for both sin(x) and cos(x), essential concepts in calculus for approximating trigonometric functions near the origin.

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