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Verify That the First Four Terms of the Fourier Series

Question 53

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Verify that the first four terms of the Fourier series for the half wave Rectification of the sine function
f(t)=sin(2πft)f=1 below are: f(t)=sinπt2+1π[123cos4πt+215cos8πt]f(t)=\sin (2 \pi f t) {f=1} \text { below are: } f(t)=\frac{\sin \pi t}{2}+\frac{1}{\pi}\left[1-\frac{2}{3} \cos 4 \pi t+\frac{2}{15} \cos 8 \pi t\right]
 Verify that the first four terms of the Fourier series for the half wave Rectification of the sine function  f(t)=\sin (2 \pi f t) {f=1} \text { below are: } f(t)=\frac{\sin \pi t}{2}+\frac{1}{\pi}\left[1-\frac{2}{3} \cos 4 \pi t+\frac{2}{15} \cos 8 \pi t\right]

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