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Unit Circle Explorer

Drag the point or set an angle to see sin, cos, tan and exact values on the unit circle.

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radius cos θ (x) sin θ (y) angle arc
degrees

Angle (degrees)

30°

Angle (radians)

π/6

cos θ (x)

√3/2

sin θ (y)

1/2

tan θ

√3/3

(x, y) = (0.8660, 0.5000)

How it works

Every point on the unit circle is (cos θ, sin θ). The horizontal red leg is the cosine, the vertical green leg is the sine, and tan θ = sin θ / cos θ (undefined where cos θ = 0). Exact values are shown for the 16 common angles — every multiple of 30° and 45°.