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Functions and commands 405
plotparam Used in the Geometry app Symbolic view. Takes a complex
expression in one variable and an interval for that variable as
arguments. Interprets the complex expression f(t)+i*g(t)
as x=f(t) and y=g(t) and plots the parametric equation
over the interval specified in the second argument.
plotparam(f(Var)+i*g(Var), Var= Interval)
Example:
plotparam(cos(t)+i*sin(t), t=0..2*π) plots the unit
circle
plotpolar Used in the Geometry app Symbolic view. Takes an
expression in one variable f(x), and an interval for that
variable as arguments. Draws the polar plot r=f(x) for x in
the interval specified.
plotpolar(Expr,Var=Interval)
Example:
plotpolar((π/2)
x
, x=-π..π) plots a partial spiral
plotseq Used in the Geometry app Symbolic view. Given an
expression in x and a vector containing three values, draws
the line y=x, the plot of the function defined by the expression
over the domain defined by the interval between the last two
values, and draws the cobweb plot for the first n terms of the
sequence defined recursively by the expression (starting at the
first value).
plotseq(f(Var), Var=[Start, Xmin, Xmax],
Integern)
Example:
plotseq(1-x/2, x=[3 -1 6], 5) plots y=x, y=1–x/2
(from x=–1 to x=6), then draws the first 5 terms of the cobweb
plot for u(n)=1-(u(n–1)/2, starting at u(0)=3
polar_point Given the radius and angle of a point in polar form, returns
the point with rectangular coordinates in complex form.
polar_point(Radius, Angle)
Example:
polar_point(2, π/3) returns point
2
1
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i 3
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