Unit circle facts for kids

The Unit Circle can be used to model every Trigonometric function.
In mathematics, a unit circle is a circle with a radius of 1. The equation of the unit circle is . The unit circle is centered at the Origin, or coordinates (0,0). It is often used in Trigonometry.
Trigonometric functions in the unit circle
In a unit circle, where is the angle desired,
and
can be defined as
and
. Using the function of the unit circle,
, another equation for the unit circle is found,
. When working with trigonometric functions, it is mainly useful to use angles with measures between 0 and
radians, or 0 through 90 degrees. It is possible to have higher angles than that, however. Using the unit circle, two identities can be found:
and
for any integer
.
Images for kids
See also
In Spanish: Circunferencia goniométrica para niños
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Unit circle Facts for Kids. Kiddle Encyclopedia.