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Unit Circle

A unit circle is a circle that has a radius of one unit.

Certain trigonometric functions are simpler in unit circles. For example the coordinates of a point on a circle of radius r are given by
x = r cos(t)
y = r sin(t)
If the radius is one, as in a unit circle then the coordinates simplfy to
x = cos(t)
y = sin(t)

Pages referring to 'unit-circle'

Parametric Equation of a Circle
A circle can be defined as the locus of all points that satisfy an equation derived from Trigonometry. Interactive coordinate geometry applet.
Parametric Equation of an Ellipse
An ellipse can be defined as the locus of all points that satisfy an equation derived from Trigonometry. Interactive coordinate geometry applet.
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