Find $a_0, a_1$ and $a_2$ by looking at a Fourier series

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Given the Fourier series:

$$F(x)=\sin{x}+\sum_{n=1}^\infty \frac{1}{5^n} \cos{nx}$$

How do I find $a_0, a_1, a_2$ when $$a_0=\frac{1}{\pi} \int_{-\pi}^\pi f(x) dx$$ and $$a_n=\frac{1}{\pi} \int_{-\pi}^\pi f(x) \cos{n x} dx$$

? Also, what is f(x) in this case?

I'm aware that this is a basic question, but I simply can't make sense of this for some reason.