Unit Circle Explorer

On the unit circle a point is (cosθ, sinθ): the x-coordinate is cosθ, the y-coordinate is sinθ, and tanθ = sinθ/cosθ. Drag the point or use the slider.

cosθ (horizontal)    sinθ (vertical)

At θ = 30° (0.52 rad)
point (x, y)
cosθ
sinθ
tanθ
quadrant
30°

Try: step to 90° — cosθ collapses to 0, so tanθ = sin/cos is undefined (a vertical asymptote of the tangent function).