Parametric Circles and Ellipses Set your grapher to
Chapter 1, Problem 1.455(choose chapter or problem)
Parametric Circles and Ellipses Set your grapher to parametric and radian mode and your window as follows:
Tmin = 0, Tmax = 7, Tstep = 0.1
Xmin = -4.7, Xmax = 4.7, Xscl = 1
Ymin = -3.1, Ymax = 3.1, Yscl = 1
(a) Graph the parametric equations x = cos t and y = sin t. You should get a circle of radius 1.
(b) Use a transformation of the parametric function of x to produce the graph of an ellipse that is 4 units wide and 2 units tall.
(c) Use a transformation of both parametric functions to produce a circle of radius 3.
(d) Use a transformation of both functions to produce an ellipse that is 8 units wide and 4 units tall.
(You will learn more about ellipses in Chapter 8.)
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