Find an Equivalent Equation in Polar Coordinates $$x ^ { 2 } + 4 y ^ { 2 } = 4$$

Multiple Choice

Find an equivalent equation in polar coordinates.
- $$x ^ { 2 } + 4 y ^ { 2 } = 4$$

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