Watch how a simple rotating point creates the foundation of all trigonometry!
📱 Tip: For the best experience on mobile, try rotating to landscape mode!
0°
This is a unit circle with radius 1. Each tick mark shows part of that radius. Opposite, Adjacent, and Hypotenuse form a right triangle. The circle's area is π.
Step 1: The Rotating Point
Everything in trigonometry starts with a point moving around a circle. As this point rotates, it traces out different positions. Each position can be described by an angle θ (theta) measured from the positive x-axis.
Move the slider above to see how the angle changes the point's position!
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The classic way to remember: SOH CAH TOA
SOH
Sin = Opposite ÷ Hypotenuse
CAH
Cos = Adjacent ÷ Hypotenuse
TOA
Tan = Opposite ÷ Adjacent
Created by Stephen Taylor + Claude (Anthropic)
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