Find a Rectangular Equation for the Plane Curve Defined by the Parametric

Multiple Choice

Find a rectangular equation for the plane curve defined by the parametric equations.
- $$x = 7 \sin t , y = 7 \cos t ; 0 \leq t \leq 2 \pi$$

A) $x ^ { 2 } + y ^ { 2 } = 49$ ; for $x$ in $- 7 \leq x \leq 7$
B) $y = x ^ { 2 } - 9$ ; for $x$ in $- 2 \leq x \leq 2$
C) $y = \sqrt { a ^ { 2 } - x ^ { 2 } } = 49$ ; for $x$ in $- \infty < x < \infty$
D) $\mathrm { y } ^ { 2 } - \mathrm { x } ^ { 2 } = 49$ ; for $\mathrm { x }$ in $- \infty < \mathrm { x } < \infty$