Sine Graph Generator
- Author:
- Ted Sundstrom
- Topic:
- Sine
This applet can be used to show how the graph of y = sin t is constructed. The slider in the upper left corner is used to change the values of t. (The variable t can go from 0 to 7 in increments of 0.2.)
The unit circle has been moved to the left so it will not interfere with the graph of y = sin t.
For each value of t, a point corresponding to the arc of length t is drawn on the unit circle. The y-coordinate of this point is sin t. This is illustrated by the (signed) length of the red line segment from the horizontal axis to the point on the circle.
At the same time, a point on the graph of y = sin t is drawn. This point will have coordinates (t, sin t) and the length of the red line segment drawn on this graph is equal to the length of the red line segment on the unit circle.