Unit Circle Calculator
Find coordinates on the unit circle for any angle
About this calculator
The Unit Circle Calculator instantly finds the exact coordinates (x, y) for any angle on the unit circle, a circle with radius 1 centered at the origin. This tool is essential for trigonometry students and professionals working with sine and cosine functions, as the x-coordinate represents cosine and y-coordinate represents sine of the given angle. It supports both degree and radian measurements, making complex trigonometric calculations quick and accurate for homework, exams, or professional work.
How to use
Enter your desired angle in either degrees or radians using the input field. Select your preferred angle measurement unit from the dropdown menu. Click the calculate button to instantly see the corresponding (x, y) coordinates on the unit circle, along with the sine and cosine values.
Frequently asked questions
What is the unit circle?
The unit circle is a circle with radius 1 centered at the origin (0,0) used to define trigonometric functions and find sine/cosine values for any angle.
Can I use both degrees and radians?
Yes, this calculator accepts angles in both degrees and radians. Simply select your preferred unit and enter the angle value accordingly.
How do coordinates relate to sine and cosine?
On the unit circle, the x-coordinate equals the cosine of the angle, while the y-coordinate equals the sine of the angle.