Convert the Rectangular Equation to Polar Form $\left( x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } = 9 \left( x ^ { 2 } - y ^ { 2 } \right)$

Multiple Choice

Convert the rectangular equation to polar form.Assume r > 1. $\left( x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } = 9 \left( x ^ { 2 } - y ^ { 2 } \right)$

A) $r ^ { 2 } = 9 \cos 2 \theta$
B) $r ^ { 2 } = 9 \csc 2 \theta$
C) $r ^ { 2 } = 9 \cos \theta$
D) $r ^ { 2 } = 9 \sin 2 \theta$
E) $r ^ { 2 } = 9 \sin \theta$