![]() ![]() ![]() Similarly, cosine will equal the length of AC. Since the hypotenuse equals 1 and anything divided by 1 equals itself, sin of alpha equals the length of BC. Geometric definition of sine and cosine for an angle with hypotenuse equal 1 The triangle below reminds us how we define sine and cosine for some angle alpha. Having a radius equal 1 unit will allow us to create reference triangles with hypotenuse equal to 1 unit.Īs we will see shortly, that allows us to measure sine, cosine and tangent directly. The graph of the unit circle with radius = 1 and points of intersection with X and Y axes In other words, the center is put on a graph where the X and Y axes cross. The unit circle is a circle with a radius of one unit with its center placed at the origin. What is the Unit Circle and how is it used? Let's learn more about it and test our understanding with a handy trigonometric calculator I created at the end of the article. It removes the need for memorizing different values and allows the user to simply derive different results for different cases. ![]() The key to its usefulness is its simplicity. The unit circle is a useful visualization tool for learning about trigonometric functions. ![]()
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