## Fourier Series, Engineering Mathematics

Assignment Help:
A function f(t) is defined as

f(t) = p - t for 0< t< p

Write down the even extension of f(t) for -p< t< 0.

Determine the Fourier cosine series, and hence, calculate the Fourier series approximation for f(t) up to the 5th harmonics when t= 1.57. Use p = 3.142. Give your answer to 3 decimal places.

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