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" …

Jan 1, 2026 · The unit circle is a circle of radius one, centered at the origin, summarizing 30-60-90 and 45-45-90 triangle relationships. The entire unit circle can be determined using logic and …

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

This handout will describe unit circle concepts, define degrees and radians, and explain the conversion process between degrees and radians. It will also demonstrate an additional way …

Discover the unit circle connection to right triangles. See how sine and cosine become coordinates and extend trigonometry beyond 90 degrees.

Using the right triangle and the Pythagorean Theorem, we can see that x2 + y2 = 1. Thus, the equation of the unit circle is x2 + y2 = 1. Sine is represented by the vertical leg. Cosine is …

The following diagram shows the unit circle for radians and degrees. Scroll down the page for more examples and solutions for trigonometric functions using the unit circle.

When we break the sine and cosine free from triangles this way and instead define them in regards to the unit circle, we call them Circular Functions. This new definition works for angles …

Nov 3, 2023 · A unit circle defines right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of right triangles relate to one another.

Jul 23, 2025 · Unit Circle has the equation x2 + y2 = 1. This Unit Circle helps in defining various Trigonometric concepts. The Unit Circle is often denoted as S1 generalization to higher …