Why Are All Coefficients Zero in My Fourier Series Calculation of Sin(2x)?

[Zeitblom]

I have to find the Fourier series of f(x)=sin(2x)
but i always get all the coefficients (a0, an and bn) equal zero.
is it right?
Thank you

 

[lurflurf]

It depends on what basis functions and interval you use. If the often used basis {1,cos(x),cos(2x),...,sin(x),sin(2x),...} with interval length 2pi the answer should be obvious.

 

[fourier jr]

sin is an odd function, so half your coefficients should be zero, not all of them

 

[LCKurtz]

I have to find the Fourier series of f(x)=sin(2x)
but i always get all the coefficients (a0, an and bn) equal zero.
is it right?
Thank you

Did you check b_2 carefully? It shouldn't be 0.