OpenStax, Algebra and Trigonometry 2e §10.7 Parametric Equations: Graphs · Exercise 60 · Calculus · Parametric & polar

Parametric Equations: Graphs · Exercise 60

Use a graphing utility to graph the given parametric equations.
(a) ${x (t) = cos t - 1 y (t) = s in t + t$
(b) ${x (t) = cos t + t y (t) = s in t - 1$
(c) ${x (t) = t - s in t y (t) = cos t - 1$

The graph of each set of parametric equations appears to “creep” along one of the axes. What controls which axis the graph creeps along?

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OpenStax, Algebra and Trigonometry 2e · §10.7 Parametric Equations: Graphs · Exercise 60

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