Sketch one cycle of the cosine function. y = 2 cos 2x

Graph

The cycle of the cosine function y = 2 cos 2x is displayed below.

- Peaks at (0,2) and (π,2)
- Intermediate point at (π/2,0)
- Trough at (π, -2)
- Intermediate point at (3π/2,0)
- Repeat the pattern for the next cycle.