We are having a continuous time signal x(t) with period T and Fourier series coefficients X(k) If y(t) = x(t – t0) + x(t + t0), then what is the Fourier series coefficients of y(t) ?
1
\(2\sin \left( {\frac{{2\pi }}{T}k{t_0}} \right)X\left[ k \right]\)
2
\(2\cos \left( {\frac{{2\pi }}{T}k{t_0}} \right)X\left[ k \right]\)
3
\({e^{ - {t_0}}}X\left[ { - k} \right] + {e^{{t_0}}}X\left[ k \right]\)
4
\({e^{ - {t_0}}}X\left[ k \right] + {e^{{t_0}}}X\left[ { - k} \right]\)