$\text { Differentiate } 3 \sin x \cos y = 1 \text { with respect to } t ( x \text { and } y \text { are functions of } t ) \text {. }$

Multiple Choice

$\text { Differentiate } 3 \sin x \cos y = 1 \text { with respect to } t ( x \text { and } y \text { are functions of } t ) \text {. }$

A) $\sin x \cos y \frac { d x } { d t } = \cos x \sin y \frac { d y } { d t }$
B) $\cos x \cos y \frac { d x } { d t } = \sin x \sin y \frac { d y } { d t }$
C) $x \sin y \frac { d x } { d t } = \sin x \cos y \frac { d y } { d t }$
D) $\cos x \cos y \frac { d x } { d t } = 3 \sin x \sin y \frac { d y } { d t }$
E) $3 \sin x \sin y \frac { d x } { d t } = \cos x \cos y \frac { d y } { d t }$