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

question 169

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 \(- \infty < \mathrm { x } < \infty\)