Question

Asked Feb 6, 2020

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Sketch the function f(x) = |sin(x)| and find a Fourier series representation of it.

Step 1

According to the given information it is required to find the Fourier series of the function:

Step 2

First, find whether the given function is odd or even. If a function is odd then, f(-x) = -f(x) and if a function is even then f(-x) = f(x).

So, find whether the given function if odd or even.

Step 3

The Fourier series of an even function contains only cosine terms, and the Fourier series is given by:

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