Play with the interactive Unit Circle below. See how different angles (in radians or degrees) affect sine, cosine and tangent: Can you find an angle where sine and cosine are equal? The "sides" …

Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.

To simplify computations, mathematicians like to fit an angle's triangle into a circle with radius r = 1. Because the number 1 is called "the unit" in mathematics, a circle with a radius of length 1 …

Aug 21, 2025 · Master the unit circle with this comprehensive guide! Learn angles, radians, coordinates, and trigonometric functions with ease.

Learn the equation of a unit circle, and know how to use the unit circle to find the values of various trigonometric ratios such as sine, cosine, tangent. Also check out the examples, FAQs.

Nov 28, 2025 · A unit circle is a circle that has a radius of one unit with its center at the origin. Learn and master this crucial element of trigonometry with examples here!

What is the unit circle definition of the trigonometric functions? The unit circle definition allows us to extend the domain of sine and cosine to all real numbers.

The unit circle helps us generalize trigonometric functions, making it easier for us to work with them since it lets us find sine and cosine values given a point on the unit circle.

Learn the unit circle with a labeled diagram, and practice problems in both radians and degrees. Perfect for test prep and review.

Using coterminal angles and the unit circle to determine exact values of trigonometric functions at negative angles and angles greater than 360 degrees (or 2 pi)