Unit Circle Table
The trigonometric ratios used in the unit circle table are used to list the coordinates of the points on the unit circle that correspond to common angles.
Angles |
0° |
30° |
45° |
60° |
90° |
---|---|---|---|---|---|
sin |
0 |
1/2 |
1/√(2) |
√3/2 |
1 |
cos |
1 |
√3/2 |
1/√(2) |
1/2 |
0 |
tan |
0 |
1/√(3) |
1 |
√(3) |
Not Defined |
csc |
Not Defined |
2 |
√(2) |
2/√(3) |
1 |
sec |
1 |
2/√(3) |
√(2) |
2 |
Not Defined |
cot |
Not Defined |
√(3) |
1 |
1/√(3) |
0 |
Unit Circle: Definition, Formula, Diagram and Solved Examples
Unit Circle is a Circle whose radius is 1. The center of unit circle is at origin(0,0) on the axis. The circumference of Unit Circle is 2π units, whereas area of Unit Circle is π units2. It carries all the properties of Circle. 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 dimensions is the unit sphere. Let’s understand more about Unit Circle, Formula and Solved examples in detail below.