- #1
t.kirschner99
- 18
- 0
Homework Statement
f(x) = -1, -π ≤ x ≤ 0
2, 0 ≤ x ≤ π
Given this find the Fourier series using both
$$a) \sum_{n=-∞}^\infty a_n e^{inx}$$
$$b) \sum_{n=0}^\infty [A_n cos(nx) + B_n sin(nx)]$$
Homework Equations
$$a_o = \frac {1} {2L} \int_{-L}^L f(t) \, dt $$
$$a_n = \frac {1} {L} \int_{-L}^L f(t)cos(\frac {nπt} {L}) \, dt $$
$$b_n = \frac {1} {L} \int_{-L}^L f(t)sin(\frac {nπt} {L}) \, dt $$
The Attempt at a Solution
Hello everyone. My problem is not calculating the numbers from the equations above, but with the conditions of the question. The question is asking about using 2 ways of completing the Fourier series. I've looked through my notes and online, but cannot find the two separate ways of doing it. Plus I don't know whether a or b is answered from using the three equations I linked above. Would someone be able to point me in the right direction?
Thanks for the help in advance guys!