Find the discrete Fourier approximation g_{2}(x) for f(x)f(x) based on the table information. x |-\frac{\pi}{2} | 0 | \frac{\pi}{2} | \pi f(x) | 0 | 1

Discrete math
asked 2021-06-07

Find the discrete Fourier approximation \(g_{2}(x)\) for \(f(x)\) based on the table information.
\(x |-\frac{\pi}{2} | 0 | \frac{\pi}{2} | \pi\)
\(f(x) | 0 | 1 | 3 | -2\)

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Find coefficients
The Fourier approximation is
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