A rectangular coil with N turns and an area A is on the xy$-$plane and centered at the origin. A uniform magnetic field B is directed along the z$-$axis. The coil starts to rotate with angular frequency with respect to the y$-$axis. What is the induced emf?

Group of answer choices

N B A omega cos$($omega t$)$

N B A omega sin$($omega t$)$

N B A cos$($omega t$)$