Parametric Polar Plots

The polar plot of θ = r2 is obtained as the 2D polar plot of the vector $\left(\vphantom{ r,r^{2}}\right.$r, r2$\left.\vphantom{ r,r^{2}}\right)$. To get the following plot, revise the first plot that appears, choosing Polar and setting the parameter range to 0 to 5.

$\blacktriangleright$ Plot 2D + Parametric, Edit + Properties, Polar

$\left(\vphantom{ r,r^{2}}\right.$r, r2$\left.\vphantom{ r,r^{2}}\right)$

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Both the radius r and the angle θ may be defined in terms of some third variable t. You can make the polar plot of the parametric curve defined by the equations r = 1 - sin t, θ = cos t as the polar plot of the vector $\left(\vphantom{ 1-\sin t,\cos t}\right.$1 - sin t, cos t$\left.\vphantom{ 1-\sin t,\cos t}\right)$, using Parametric from the Plot 2D submenu. Revise the first plot, choosing Polar and parameter range 0≤t≤2π.

$\blacktriangleright$ Plot 2D + Parametric, Edit + Properties, Polar

(1 - sin t, cos t)

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