Free · Interactive

Unit Circle Explorer

Drag the point around the circle and watch sine, cosine and tangent change live — with exact values, radians, reference angles and the waves they trace.

1-1θ(0.866, 0.5)

Angle

30°

Radians

π6\frac{\pi}{6}
sin⁡θ\sin\theta
=12= \tfrac{1}{2}
≈ 0.5
cos⁡θ\cos\theta
=32= \tfrac{\sqrt{3}}{2}
≈ 0.866
tan⁡θ\tan\theta
=33= \tfrac{\sqrt{3}}{3}
≈ 0.5774
Position
Quadrant I — All positive
Reference angle
30°
Check: sin²θ + cos²θ
1

The waves it traces

0°90°180°270°360°

The pink height is sinθ, the blue width is cosθ, and the green segment on the tangent line x = 1 is tanθ.