Copy of Curve of the sine function

Topic:
Circle, Sine

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Move the point P on the trigonometric circle. The point N has abscissa α and ordinate sin(α). The resulting curve is the graphical representation of the sine function on [0;2π].

Sine Curve Using the Unit Circle

Focus on the "height" as the angle moves around the circle.

Starting at 0 degrees, rotate P in a counterclockwise direction. How does the curve height compare to the height of the angle? Why did the sine curve go below the x-axis in the negative direction? What would happen if the angle P were to keep rotating, or go past 360 degrees? How does the curve behave then? What if P turns in a clockwise direction?