Curve (t cost, t sint, t)
Introduction
The x and y coordinates still describe a circle, but now the z coordinate varies, so that the height of the curve matches the value of t. When t = π, for example, the resulting vector is h−1, 0, πi. A bit of thought should convince you that the result is a helix.
Objectives
Student will be able to find the curve (t cost, t sint, t) using by Geogebra,
User Guideline
Open animation of GGB applet then check rotation of curve,
Test your Outstanding
Define a curve (t cost ,t sint ,t).
Construction protocal
1)Open Geogebra 3D window,
2) Using Input Bar,
C=((t cos(t),t sin(t),t),t,0,2π),
3) Then color and design it,