The Polar Equation That Corresponds to the Rectangular Equation $x ^ { 2 } - y ^ { 2 } = 4$

Multiple Choice

The polar equation that corresponds to the rectangular equation $x ^ { 2 } - y ^ { 2 } = 4$ is

A) $r ^ { 2 } = - \frac { 4 } { 2 \cos ^ { 2 } \theta + \sin ^ { 2 } \theta }$
B) $r ^ { 2 } = \frac { 4 } { \cos ^ { 2 } \theta - 2 \sin ^ { 2 } \theta }$
C) $r ^ { 2 } = \frac { 4 } { 2 \cos ^ { 2 } \theta + \sin ^ { 2 } \theta }$
D) $r ^ { 2 } = \frac { 4 } { \cos ^ { 2 } \theta - \sin ^ { 2 } \theta }$
E) $r ^ { 2 } = \frac { 4 } { 2 \cos ^ { 2 } \theta - \sin ^ { 2 } \theta }$