Unit Circle Definition
What is unit circle definition?
The unit circle is a circle with a radius of 1, centered at the origin of a coordinate plane. It is commonly used in mathematics and trigonometry to represent angles and the relationship between the coordinates of points on the circle.
What are the types of unit circle definition?
There are two commonly used types of unit circle definitions - the radian measure and the degree measure.
Radian measure: This type of unit circle definition is based on the concept of radians, which is a unit of angular measure. Radian measure uses the radius of the unit circle as the reference and measures angles based on the arc length along the circumference of the circle.
Degree measure: This type of unit circle definition uses degrees as the unit of angular measure. It divides the unit circle into 360 equal parts, with each part representing one degree. Degree measure is commonly used in everyday calculations and trigonometric functions.
How to complete unit circle definition
Completing the unit circle definition involves understanding the values of trigonometric functions (sine, cosine, and tangent) for each angle in the unit circle.
01
Start with the angle of 0 degrees or 0 radians, which corresponds to the point (1, on the unit circle.
02
Move counterclockwise along the circumference of the circle, increasing the angle in equal increments (either in degrees or radians).
03
For each angle, find the x-coordinate (cosine value) and y-coordinate (sine value) of the point on the unit circle corresponding to that angle.
04
The tangent value can be calculated by dividing the sine value by the cosine value.
05
Repeat this process for all angles in the unit circle to complete the unit circle definition.
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