Writing to Learn Consider the two pairs of parametric equations , and , for . (a) Give a

Chapter 6, Problem 6.1.1.205

(choose chapter or problem)

Writing to Learn Consider the two pairs of parametric equations \(x=3 \cos t, y=3 \sin t \text { and } x=3 \sin t, y=3 \cos t\) for \(0 \leq t \leq 2 \pi\).

(a) Give a convincing argument that the graphs of the pairs of parametric equations are the same.

(b) Explain how the parametrizations are different.

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