Drag point P around the unit circle (or drag across the graph) to trace sin θ, cos θ and tan θ. Toggle between degrees and radians, inspect exact surd values at 30°, 45°, 60°, and see how symmetry solves sin θ = k in 0°–360°.
| Degrees | Radians | sin θ | cos θ | tan θ |
|---|---|---|---|---|
| 0° | 0 | 0 | 1 | 0 |
| 30° | π/6 | 1/2 = 0.5 | √3/2 ≈ 0.866 | 1/√3 = √3/3 ≈ 0.577 |
| 45° | π/4 | √2/2 ≈ 0.707 | √2/2 ≈ 0.707 | 1 |
| 60° | π/3 | √3/2 ≈ 0.866 | 1/2 = 0.5 | √3 ≈ 1.732 |
| 90° | π/2 | 1 | 0 | Undefined (asymptote) |
Because sin θ is the vertical y-coordinate on the unit circle, reflecting across the y-axis keeps the same height: sin(180° − θ) = sin θ (in radians: sin(π − θ) = sin θ).
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