How to draw an ellipse using the parametric curve drawing function on the geometric sketchpad

Want to use the geometric sketchpad to draw an ellipse, but don’t know the specific steps? Geometry Sketchpad provides a feature called "Parametric Curves" to easily draw ellipses. This tutorial will introduce in detail how to use this function to draw an ellipse, including setting up parametric equations, adjusting the size of the major and minor axes, and other steps. By reading the following, you will master the technique of drawing ellipses in Geometry Sketchpad.

Select the [Data]-[New Function] command and create the functions f(x)=3cosx and g(x)=2sinx in sequence.

Select the newly created functions f(x) and g(x) in turn, and then select the [Draw]-[Draw Parametric Curve] command to pop up the drawing function dialog box and enter the domain. For 0≤t≤360.

Press the [Draw] button to close the dialog box, and the geometric sketchpad will draw the elliptic curve as shown below.

Select the elliptic curve, then select the [Edit]-[Properties] command, and change the parameter value range to -90≤ in the dialog box that pops up as shown in the figure. t≤180.

Press the [OK] button to close the dialog box and find that the elliptic curve is missing a corner.

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