# Thread: Find the Fourier Series of f(x) = (pi - x)

1. ## Find the Fourier Series of f(x) = (pi - x)

greatly appreciated!

Find the Fourier series of f(x) = pi - x
Thinking of f(x) as defined on the interval [-pi,pi]

So I know I must find ao, ak and bk.

I have found:

ao = 0
ak = - (x sin(kx)) / (k pi)
bk = + (x cos(kx)) / (k pi)

Is this correct? Please provide step by step solutions is possible.

Thanks again!

2. Originally Posted by jkhayer
greatly appreciated!

Find the Fourier series of f(x) = pi - x
Thinking of f(x) as defined on the interval [-pi,pi]

So I know I must find ao, ak and bk.

I have found:

ao = 0
ak = - (x sin(kx)) / (k pi)
bk = + (x cos(kx)) / (k pi)

Is this correct? Please provide step by step solutions is possible.

Thanks again!
Have you been given formulas for the coefficients ak and bk? Please post them and say where you get stuck in using them.

3. Originally Posted by jkhayer
greatly appreciated!

Find the Fourier series of f(x) = pi - x
Thinking of f(x) as defined on the interval [-pi,pi]

So I know I must find ao, ak and bk.

I have found:

ao = 0
ak = - (x sin(kx)) / (k pi)
bk = + (x cos(kx)) / (k pi)

Is this correct? Please provide step by step solutions is possible.

Thanks again!

What MrF said, and if your notes/text are inadequate see the Wikipedia article

CB