Find an Equivalent Equation in Polar Coordinates $$x y = 1$$

Multiple Choice

Find an equivalent equation in polar coordinates.
- $$x y = 1$$

A) $2 r ^ { 2 } \sin \theta \cos \theta = 1$
B) $2 r \sin \theta \cos \theta = 1$
C) $\mathrm { r } \sin 2 \theta = 2$
D) $r ^ { 2 } \sin 2 \theta = 2$