Compute the coefficients of the Fourier series for the 2-periodic function $f(t) = 3 + 6 \cos(2\pi t) + 3 \sin(3\pi t)$.

We are using the convention that the constant term is $\frac{a_0}{2}$.

$a_0 = {}$
$a_1 = {}$
$a_2 = {}$
$a_3 = {}$
$a_4 = {}$
$b_1 = {}$
$b_2 = {}$
$b_3 = {}$
$b_4 = {}$

help (numbers)