Question: Consider the parametric equations x = 2 cot and y = 4 sin cos , 0 < < . (a) Use a

Consider the parametric equations x = 2 cot θ and y = 4 sin θ cos θ, 0 < θ < π.

(a) Use a graphing utility to graph the curve.

(b) Eliminate the parameter to show that the rectangular equation of the serpentine curve is (4 + x2)y = 8x.

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