Copy of Curve of the sine function
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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?