Trigonometry · Mathematics

TRIGONOMETRY SIMULATION

▸ Building the unit circle (R = 1)…

▸ Attaching a radius that rotates by angle θ

▸ Projecting sin (vertical axis) & cos (horizontal axis)

▸ Calibrating the tan tangent & special angles

▸ Starting the unrolling sin/cos waves…

▸ Ready — Online. ✅

Rotating vector & values

🧭 Unit circle

cos = x · sin = y

Angle θ (deg)—

Angle θ (radian)—

sin θ—

cos θ—

tan θ—

Nearest special angle—

Tip

The rotating radius traces the point (cos θ, sin θ) on a circle of radius 1. Project onto the vertical axis = sin (red), the horizontal axis = cos (green). Because R = 1, always sin²θ + cos²θ = 1.

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Drag the Angle θ bar to set it by hand · click a special angle · switch the Scenario (highlight sin/cos · tan · identity · Lissajous)

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sin θ · cos θ · tan θ over time (θ increasing) sincostan (clamped ±2)