Mathematical Methods · trigonometric functions · manipulative

Cos and sin on the unit circle

Drag the point: cos θ is the x-coordinate, sin θ is the y-coordinate, and tan θ is the slope of the ray — when cos θ ≠ 0.

cos θ (x) sin θ (y) ray / point

Drag the point on the circle · θ slider also drives the ray · wrap past 2π for periodicity

Angle θ (radians)

π/3
Snap to exact values
multiples of π/6 and π/4 only — not π/12
Wave traces
linked y = sin θ and y = cos θ

Working