A 2D parametric curve is defined by a pair of equations x = f (t), y = g(t). The curve is the set of points (f (t), g(t)), where t ranges over an interval.
To plot a 2D parametric curve
The following plot shows the parametric curve defined by x = sin 2t,
y = cos 3t as the parametric plot of the vector
sin 2t, cos 3t
with
0≤t≤2π and Equal Scaling Along Each
Axis.
Plot 2D + Parametric
sin 2t, cos 3t
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dtbpF2.9992in1.9995in0ptPlot You can make a parametric plot of the pair
f (x), x
to plot the inverse function or inverse relation of a function y = f (x). For
example, to plot the cube root function
y = x
, observe that it
is the inverse function to y = x3 and do a parametric plot.
Plot 2D + Parametric
x3, x
dtbpFU4.3647in2.0003in0pt y = x
The inverse relation of sin x follows. You can adjust the view to get the plot of the inverse function sin-1x.
Plot 2D + Parametric
sin x, x
dtbpF3in2.3021in0pt