Cos goes opposite from sine, and tangent and cotangent are derived from them so you can always calculate them easily. This lesson may look a bit complicated to remember, but it really is not. Consider Sine, Cosine, Tangent, and Cotangent: Following table is very important to remember. Special angles are angles that have relatively simple values. It can be used to evaluate trigonometric functions. In one quarter of a circle is $\frac.$$ Trigonometric functions of special angles The Unit Circle is a circle centered at the origin with radius equal to 1. If you have your number line marked with radians, this is how it would look:įirst, you have a usual unit circle. That means that infinitely many points from number line will fall into same places on a unit circle. In some point you’ll start your second lap around it, and when you wrap it again, you’ll start third and so on in infinity. You wrap an endless line around a circle. Now that we remembered that, let’s look at our picture. One whole circle has $ 2 \pi$ radians one half of a circle has $\pi$ radians and so on. 1 radian is a part of a circle where length of an arc is equal to the radius. The positive numbers, (up from the origin in the picture) are replicated in a positive mathematical orientation (counterclockwise) and negative (downwards from the origin) are replicated in a negative mathematical orientation (clockwise). It is important that the radius of this circle is equal to 1.Īs you know, you have positive and negative numbers on your number line. The unit circle is a circle with a radius of 1. For every point on our number line, there is exactly one point on a circle. Now what would happen if we would wrap our endless line around a circle with radius 1?Įvery point from the number line will end up on our circle. Generally, a unit circle is represented in the coordinate plane with its center at the origin. A number line is a straight endless line with origin and unitary length. A unit circle is a circle with a radius of one unit. Before learning about what a unit circle is, it helps to remember what is a number line.
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