Tool

Unit Circle Pythagorean Identity

Drag a point around the unit circle to connect coordinates with trig values and verify $\sin^2\theta + \cos^2\theta = 1$

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Inputs: Drag the point around the circumference to change angle θ and coordinate values.

Outputs: Live point (x, y), x/y right-triangle legs, and the identity check x² + y² = 1.

Used for: Use for introducing unit-circle coordinates and deriving the Pythagorean trig identity.

trigonometryunit-circleidentitiesgeometry