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Consider a signal defined by

$x(t)=

= \begin{cases}

e^{j10 t} & \text{for} |t|\leq 1 \\

0& \text{for } |t| > 1

\end{cases}$

Its Fourier Transform is

- $\frac{2 \sin (\omega -10)}{\omega - 10}$
- $2e^{j10}\frac{ \sin (\omega -10)}{\omega - 10}$
- $\frac{2 \sin \omega}{\omega - 10}$
- $e^{j10 \omega }\frac{2 \sin\omega }{\omega }$

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