Replace the Cartesian Equation with an Equivalent Polar Equation $$x ^ { 2 } + 4 y ^ { 2 } = 4$$

Multiple Choice

Replace the Cartesian equation with an equivalent polar equation.
- $$x ^ { 2 } + 4 y ^ { 2 } = 4$$

A) $r ^ { 2 } \left( \cos ^ { 2 } \theta + 4 \sin ^ { 2 } \theta \right) = 4$
B) $r ^ { 2 } \left( 4 \cos ^ { 2 } \theta + \sin ^ { 2 } \theta \right) = 4$
C) $4 \cos ^ { 2 } \theta + \sin ^ { 2 } \theta = 4 \mathrm { r }$
D) $\cos ^ { 2 } \theta + 4 \sin ^ { 2 } \theta = 4 \mathrm { r }$