The Fourier series is given by \(f( x) = \frac{{{a_o}}}{2} \;+\; \mathop \sum \limits_{n = 1}^\infty {a_n}\cos nx \;+\; \mathop \sum \limits_{n = 1}^\infty {b_n}\sin nx\) in the interval -π < x < π.
Which among the following is true?
1
If \(f(x) =x \cos x\), the value of a0 = 0
2
If \(f(x) =x \cos x\), the value of an = 0
3
If \(f(x) =x \sin x\), the value of an = 0
4
If \(f(x) =x \sin x\), the value of bn = 0