Consider a signal defined by

$x(t)= \begin{cases} e^{j10 t} & \text{for } \mid t \mid \leq 1 \\ 0& \text{for } \mid t \mid > 1\end{cases}$

Its Fourier Transform is

1. $\dfrac{2 \sin (\omega -10)}{\omega - 10}\\$
2. $2e^{j10}\dfrac{ \sin (\omega -10)}{\omega - 10} \\$
3. $\dfrac{2 \sin \omega}{\omega - 10} \\$
4. $e^{j10 \omega }\dfrac{2 \sin\omega }{\omega }$

Answer: