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" …

Since C = 2πr, the circumference of a unit circle is 2π. In mathematics, a unit circle is a circle of unit radius —that is, a radius of 1. [1] Frequently, especially in trigonometry, the unit circle is …

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

We will soon learn how to apply the coordinates of the unit circle to find trigonometric functions, but we want to preface this discussion with a more general definition of the six trigonometric …

Jul 23, 2025 · The unit circle has various applications in trigonometry and algebra and is majorly used to find the values of different trigonometric ratios such as sin x, cos x, tan x, and others.

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

What Is the Unit Circle? The unit circle is a fundamental concept in trigonometry – it’s simply a circle of radius one centred at the origin (0,0) on the coordinate plane. Despite its simple …

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 is fundamentally related to concepts in trigonometry. The trigonometric functions can be defined in terms of the unit circle, and in doing so, the domain of these functions is …

Trigonometric Functions With the Unit Circle Instructions The first videos below explain the concepts in this section. This page includes exercises that you should attempt to solve …