Trident Help

Natural Color Graphing manual · Chapter 10 of 18

Polar, parametric and X= graphs

Graph r(θ), parametric curves and vertical lines.

10.1Choose the graph type#

In the function list press F3 (TYPE) and choose Y=, r=, Parm or X=. The X,θ,T key then types X, θ or T to match. A parametric function takes two lines: Xt and Yt.

The TYPE bar The display shows: Graph Func :Y= / Y1= / Y2= / Y3= / Y4= / Y5= / Y= r= Parm X= · ·.
The TYPE bar
Example 10.1

Polar line

  1. TYPE, r=, then type X,θ,T.

    MENU3F3F2X,θ,TEXE
Result of the example "Polar line" The display shows: Graph Func :Y= / r1=θ / Y2= / Y3= / Y4= / Y5= / SELECT DELETE TYPE TOOL · DRAW.
You should seer1=θ
Example 10.2

Parametric lines

  1. TYPE, Parm.

    MENU3F3F3
Result of the example "Parametric lines" The display shows: Graph Func :Parm / Xt1= / Yt1= / Y2= / Y3= / Y4= / SELECT DELETE TYPE TOOL · DRAW.
You should seeXt1= Yt1=

10.2Draw a polar graph#

r=2⟹x2+y2=4r=2\quad\Longrightarrow\quad x^2+y^2=4
A circle in polar form
Example 10.3

A circle r = 2

  1. TYPE, r=, type 2, EXE, DRAW, then trace.

    MENU3F3F22EXEF6F1
Result of the example "A circle r = 2" The display shows: r1=2 / θ=0 r=2.
You should seeθ=0 r=2

10.3Draw a parametric graph#

x=2cos⁡t,y=3sin⁡tx=2\cos t,\quad y=3\sin t
An ellipse
Example 10.4

An ellipse

  1. TYPE, Parm; Xt = 2cos T, Yt = 3 sin T; DRAW; TRACE.

    MENU3F3F32cosX,θ,TEXE3sinX,θ,TEXEF6F1
Result of the example "An ellipse" The display shows: Xt1=2cos(T,Yt1=3sin(T / T=0 / X=2 Y=0.
You should seeT=0 X=2 Y=0

10.4Draw a vertical line (X=)#

Example 10.5

The line x = 2

  1. TYPE, X=, type 2, EXE, DRAW.

    MENU3F3F42EXEF6
Result of the example "The line x = 2" The display shows: TRACE ZOOM V-WIN SKETCH G-SOLV G⇔T.
You should seeTRACE

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