Question

The $a_{12}$ coefficient of the trigonometric Fourier series of the signal whose one period is given as
$x\left(t\right)=\{\begin{array}{cc}cost& 0\le t\le \frac{\pi }{2}\\ -cost& -\frac{\pi }{2}\le t\le 0\end{array}$

Where $a_n$ is coefficient of $cosn{\omega }_{0}t$ in the trigonometric Fourier series expansion

• A. $\frac{4}{\pi }$
• B. $\frac{2}{\pi }$
• C. 0
• D. $\frac{12}{\pi }$

Answer 1

The correct option is C 0



The given signal is odd signal

$\therefore a_n=0$
$\therefore a_{12}=0$