Eliminate the Parameter and Write the Corresponding Rectangular Equation Whose $x = \cos \theta$

Multiple Choice

Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. $x = \cos \theta$ $y = 5 \sin 2 \theta$

A) $\frac { x ^ { 2 } } { 1 } + \frac { y ^ { 2 } } { 5 } = 1$
B) $y = \pm 10 x \sqrt { 1 + x ^ { 2 } }$
C) $y = \pm 10 x \sqrt { 1 + x }$
D) $\frac { x ^ { 2 } } { 1 } - \frac { y ^ { 2 } } { 5 } = 1$
E) $y = \pm 10 x \sqrt { 1 - x ^ { 2 } }$