parametric Curve
Introduction
- A parametric curve in ^2 is a set of equations x=x(t),y=y(t) and z=z(t) that trace a curve C in 3D graphics at the parameter t varies.
-In this applet i draw a curve f(x)=(t cost, t sint,t) with parameter 't'.
Objectives
Draw a curve (t cost,t sint, t).
User Guideline
-Move the slider 't' then in the applet there move a point .the moving point show the curve where the red line represent the parametric curve.
Applet
Construction Protocol
To draw a curve (t cost ,t sint ,t)in the 3D graphics you can follow the following construction steps:-
1.Open new GeoGebra window and view the 3D graphics.
2. Create a number slider 't' with min-0,max-2 Pi and increment-0.01.
3. Input curve(t cost,t sint,t,t,0,2Pi) by using input tool.
4.Input a(t) by using input tool.
5. Enhance your construction by using object properties.
Test Your Understanding
Q.n Draw a curve (3 cost,3 sint,t) in GGB.