Homework Help: Complex Fourier Series HW

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1. Jul 22, 2017

Aows

1. The problem statement, all variables and given/known data
Q:/ Find the complex form of fourier series for the following periodic function whose definition in one period is given below then convert to real trigonometry also find f(0).
f(t)=cos(t/2), notes: (T=2*pi) (L=pi)

2. Relevant equations
1) f(t)=sum from -inf to +inf (Cn exp(j*n*(pi/L)*t)
2) Cn=(1/2pi) *integration from -L to +L (f(t) exp (-j * n (pi/L)* t) *dt

3. The attempt at a solution
i failed at finding the solution to the Cn coefficient

2. Jul 22, 2017

stevendaryl

Staff Emeritus
Well, post what the equations look like when you substitute $cos(t/2)$ in for $f(t)$. Also, for evaluating the integral, it might help to convert it to exponentials, using:

$cos(x) = \frac{1}{2} (e^{i x} + e^{-ix})$

3. Jul 22, 2017

Aows

Hello,
what do you want me to post ?

4. Jul 22, 2017

Aows

here is part of the question