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, z and w are the values of the unit circle.

To calculate a unit circle, take the sine, cosine, and tangent of the angle to get the X, Y, and Z coordinates respectively.

## Unit Circle Definitoin

A unit circle is defined as any circle with a radius of 1 unit.

## How to memorize a unit circle?

The best way to memorize a unit circle is to remember that sin is X, cosine is y, and tan is z. Add that to the factor that the unit circle always has a radius of 1 and you can determine your unit circle.

## What is it called unit circle?

The unit circle is called such because the radius of the circle is a unit of 1, or magnitude of 1. That is one unit, hence the name unit circle.

## Why are unit circles important?

Just like with a unit vector, unit circles are important for simplifying problems with large numbers. If you can simply a problem down to a unit circle with a radius of 1, then you can compare the values of circles with drastically different sizes.

## How to calculate a unit circle?

How to calculate a unit circle

1. First, measure the angle of the unit circle.

This is the angle measure from the positive x axis.

2. Calculate the value of sine (X)

This value will be equal to the Y portion of the triangle encapsulated.

3. Calculate the value of cosine (X)

This will be equal to the x portion of the triangle.

4. Calculate the value of tangent of (X)

This is equal to the value of the hypotenuse.

## FAQ

What is a unit circle?

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.

How can a unit circle be used?

A unit circle is used in order to simplify a problem down to a smaller scale, of 1 to be exact. In other words, it’s reducing a large circle value to one with a radius of 1.