![]() The unit circle is algebraically represented using the second-degree equation with two variables x and y. It is important that the radius of this circle is equal to 1. The point where the terminal side intersects the unit circle (x, y) is the basis for this definition. The unit circle is a circle with a radius of 1. The unit circle is generally represented in the cartesian coordinate plane. The Definitions of Sine and Cosine The right triangle definitions of sine and cosine only apply to acute angles, so a more complete definition is needed. The primary purpose of the unit circle is that it makes other functions of mathematics easier. The unit circle has its center at the origin (0, 0). It is generally represented in the Cartesian coordinate system. ![]() This will be studied in the next exercise. A unit circle is a circle with a radius measuring 1 unit. A unit circle is a circle of unit radius, which means it has a radius of 1 unit. Once you’ve done all these steps, it would be a lot easier to find the points of the other angles on your circle too. By now, you should be able to assign a name to the point at the 30-degree angle on your unit circle. So each point on the circle has distinct coordinates. Since the circumference of the unit circle is \(2\pi\), it is not surprising that fractional parts of \(\pi\) and the integer multiples of these fractional parts of \(\pi\) can be located on the unit circle. A unit circle is on a coordinated plane which has the origin at its center. ![]()
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