# Infinite Sine

- Author:
- Michael Bostwick

- Topic:
- Sine

Move the angle slider to experiment with different angles.
Notice that the angle can now exceed a single revolution. As you move the slider past 2pi or 6.28 rad, you will start navigating the circle's circumference again, repeating many of the values you saw previously.
Answer the two questions below the diagram by answering the two questions on the paper provided.

1) Find the values of sin(1.05 rad), sin(7.33), and sin(13.61). Why do the answers you found have the relationship they have?
2) Find two pairs of angles that have the same cosine value because they have the same effective angle.
3) Find a pair of angles that have the same cosine value but that have different effective angles.