Enter the angle of the unit circle into the calculator. The calculator will display the corresponding sine, cosine, and tangent values of the unit circle associated with those values.
Unit Circle Formula
The following formula is used to calculate the values of a unit circle.
Sin (X) = X
Cosine (X) = Z
Tangent (X) = W
Where x is the angle and y, x and w are the values of the unit circle.
How to calculate a unit circle
- First, measure the angle of the unit circle.
This is the angle measure from the positive x axis.
- Calculate the value of sine (X)
This value will be equal to the Y portion of the triangle encapsulated.
- Calculate the value of cosine (X)
This will be equal to the x portion of the triangle.
- Calculate the value of tangent of (X)
This is equal to the value of the hypotenuse.
A unit circle is a circle with a radius of 1. It’s also closely related to a unit vector which is a vector with a magnitude of 1, however, it is no the same.
A unit circle is used in order to simply a problem down to a smaller scale, of 1 to be exact. In other words it’s a reducing a large circle value to one with a radius of 1.
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