# Unit Circle Calculator

> Enter an angle in degrees or radians and the calculator returns the reference angle, quadrant, sin, cos, tan, and the unit-circle coordinate (x, y). Exact values for common angles, decimal otherwise.

**URL:** https://www.calculatoranswers.com/unit-circle-calculator
**Category:** Education

## Quick Answer

Find trigonometric values using the unit circle. Enter an angle in degrees or radians to calculate sine, cosine, tangent, and coordinates.

## Definition

A unit circle calculator is a trigonometric tool that calculates the coordinates and trigonometric values associated with an angle on a circle of radius one centered at the origin. By entering an angle in degrees or radians, the calculator computes the precise coordinates on the circle perimeter, where the x-coordinate corresponds to cosine and the y-coordinate to sine. It outputs cosine, sine and tangent, exactly for the common angles and as decimals otherwise, and indicates the reference angle and quadrant. The reciprocal functions secant, cosecant and cotangent are not included. Mathematics students use this utility to study circle geometry and memorize unit circle values.

## How to Use

1. **Enter the angle** — Type the angle value and select whether it is in degrees or radians.
2. **Pick degrees or radians** — Use the toggle to say which unit your angle is in. It is the only toggle on the page.
3. **View coordinates and values** — Read the cosine, sine and tangent values, the (cos, sin) coordinate, the reference angle and the quadrant.

## Disclaimer

This calculator provides estimates for educational and planning purposes. Always consult a qualified professional for specific advice on financial, medical, legal, or other regulated decisions.

---

*This page is part of Calculator Answers — simple calculators, clear answers, no signup required. View all calculators at https://www.calculatoranswers.com/calculators*