I saw many solved examples about this topic but again I coudn't come up with any solutions about this question. How can I find the Fourier Series coefficients of the following signal ?
$x(t)=2 \cos(3\pi t) + \sin(100\pi t+\frac{\pi }{3})$
I know that;
$\cos(θ)=\frac12 (e^{jθ} + e^{−jθ})$ and,
$\sin(θ)=\frac{1}{2j} (e^{jθ} - e^{−jθ})$
I also know that I should use $$x(t) = \sum_{-\infty}^{\infty} a_{k} e^{jk(2\pi/T)t}$$
But I'm having trouble to define the fundamental period $T$ and the relation between sinusoidal terms and coefficients $a_k$, to sum all things together. Thanks to everyone...