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

question 542

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) \(y = \pm 10 x \sqrt { 1 - x ^ { 2 } }\)

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