A cute little problem

Question

ganeshie8 · Answer

Find $a_{0}$ and $a_1$ if

$$f(x) = \sum\limits_{n=0}^{\infty} a_n \cos(nx)$$

sammixboo · Answer

Cute? Please.

jtug6 · Answer

seems cute to me

ganeshie8 · Answer

You're definitely gonna find it cute after solving it. 
I'm not using the word "cute" simply to attract flock haha

jtug6 · Answer

put quotes around cute next time. hahahha

jtug6 · Answer

i hate series so im not even gonna try ;p but lets see how it is

sammixboo · Answer

I'll stick around to see :)

ganeshie8 · Answer

I'll post a hint after 1 hour if nobody gets it by then :)

yanasidlinskiy · Answer

You mean I'm cute not the problem? ;) Lol

dinamix · Answer

@ganeshie8  hmm i try little so i think it's  serie fourier dunction  with a0 = 0 and T= 2pi  An is pair @ganeshie8  i 'm right or no

dinamix · Answer

function*

ganeshie8 · Answer

Looks you have it!

ganeshie8 · Answer

The key thing to notice here is that $\int\limits_0^{2\pi} \cos(nx) $is $0$ for every "positive" integer $n$. So we may simply integrate both sides over [0,2π] to get the coefficient $a_0$

dinamix · Answer

so i'm right about a0 = 0

ganeshie8 · Answer

No, may I know how you got a0 = 0 ?

legomyego180 · Answer

@ganeshie8 could you delete @tootzrl's post please at the top

ganeshie8 · Answer

Done. thanks for reporting :)

dinamix · Answer

cuz function An is pair and f(x) is like serie fourier not complete this  why i said a0 =0

dinamix · Answer

|dw:1466396404466:dw| look @ganeshie8  look that