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Fourier Series Bipolar Square wave


Hi, I am trying to calculate the Fourier Series for a bipolar square wave which is formed by taking 4 samples of a sinewave. Please see the attachment.

I know a0 is zero just by looking at the waveform, but I am having difficulty with a1.

I believe a1, should also be zero, but as you can see from my derivation I am not getting zero and I am pulling my hair out wondering what I am doing wrong. Any help would be more than welcome.


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