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

question 14

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) \(x ^ { 2 } - y ^ { 2 } = 4\)

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