Find the Jacobian of the Transformation $x = u \sin v$

Multiple Choice

Find the Jacobian of the transformation $x = u \sin v$ , $y = u \cos v$ .

A) $- u$

B)
$- u ^ { 2 }$
C) u
D) $u ^ { 2 }$
E) $- u ^ { 2 } \sin v \cos v$
F) $u ^ { 2 } \sin v \cos v$
G) $- 2 u ^ { 2 } \sin v \cos v$
H) $2 u ^ { 2 } \sin v \cos v$