Stage 25 · Trigonometry

25.2.1 Any Angle: The Angle as a Rotation

25.2 Opening the Angle Wide: Any Angle and Radian Measure

Point 1 of 5

25.2.1 Any Angle: The Angle as a Rotation

Core idea

Picture a pointer sweeping around a center — it can swing half a turn, several turns, forward or backward — so an angle is no longer trapped inside a right triangle.

Module goal. We break free of the 'angles only run from 0° to 90°' limit, letting angles spin any number of turns and carry a sign, and we bring in radians — a unit better suited to functions — to set the stage for the unit-circle definition.
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