Find the Rectangular-Coordinate Equation for the Parametric Equations Given $x = 2 \cos ^ { 2 } t , y = 2 \sin ^ { 2 } t$

question 60

Multiple Choice

Find the rectangular-coordinate equation for the parametric equations given. $x = 2 \cos ^ { 2 } t , y = 2 \sin ^ { 2 } t$

• A) \(x + y = 2,0 \leq x \leq 2\)
• B) \(x ^ { 2 } + y ^ { 2 } = 4 , \quad 0 \leq x \leq 4\)
• C) \(2 x ^ { 2 } + 2 y ^ { 2 } = 1 , \quad 0 \leq x \leq 2\)
• D) \(x ^ { 2 } + y ^ { 2 } = 2 , \quad 0 \leq x \leq 2\)
• E) \(x ^ { 2 } - y ^ { 2 } = 4\)

---

Definitions:

Macy's

An American department store chain founded in 1858, known for its wide range of consumer goods and its annual Thanksgiving Day parade.

Good Cook

An individual skilled in the art of preparing and cooking food effectively and deliciously.

Prepared

Made ready in advance for a specific purpose or use.

Sharpening Knives

The method or process of making a knife's edge sharp by grinding against a hard, rough surface.