- #1

flyingpig

- 2,579

- 1

## Homework Statement

Polar plot the following

sin[t] U cos[t]

sin[2t] U cos[2t]

sin[3t] U cos[3t]

sin[4t] U cos[4t]

sin[5t] U cos[5t]

Notice that cos[t] and sin[t] are the same graph rotated 90 degrees only? Interesting! Just like the cartesian graph.

Now here is something more interesting

The number of loops follow as

1t U 1 loop

2t U 4 loops

3t U 3 loops

4t U 8 loops

5t U 5 loop

Notice how the odd number stays the same and the even doubles? Why is there this pattern?