Defining Trigonometric functions Using the Unit Circle
![](https://www.spacexmath.com/wp-content/uploads/2021/03/1-2-1024x306.png)
![](https://www.spacexmath.com/wp-content/uploads/2021/03/unit_circle1-1024x328.png)
![](https://www.spacexmath.com/wp-content/uploads/2021/03/hyp1-768x316.png)
Now we will define the reciprocals of sine, cosine and tan
![](https://www.spacexmath.com/wp-content/uploads/2021/03/sin_trig-1-768x363.jpg)
We will now learn the Trigonometric table
![](https://www.spacexmath.com/wp-content/uploads/2021/03/table_trig-1024x434.png)
The Values of these Trigonometric ratios vary in different Quadrants
![](https://www.spacexmath.com/wp-content/uploads/2021/03/Q_1-1024x481.png)
![](https://www.spacexmath.com/wp-content/uploads/2021/03/Q_2-1024x451.png)
![](https://www.spacexmath.com/wp-content/uploads/2021/03/Q_3_0-1024x470.png)
![](https://www.spacexmath.com/wp-content/uploads/2021/03/Q_4-1024x458.png)
![](https://www.spacexmath.com/wp-content/uploads/2021/03/Q_5_0-1024x465.png)
Helpful Graphs
y = sinx
![](https://www.spacexmath.com/wp-content/uploads/2021/03/sin_1.png)
y = cosx
![](https://www.spacexmath.com/wp-content/uploads/2021/03/sin_2-768x301.png)
y = tanx
![](https://www.spacexmath.com/wp-content/uploads/2021/03/sin_3-768x467.png)
![](https://www.spacexmath.com/wp-content/uploads/2021/03/p_1-768x306.jpg)
Problem
![](https://www.spacexmath.com/wp-content/uploads/2021/03/p_1-768x306.jpg)
Solution
![](https://www.spacexmath.com/wp-content/uploads/2021/03/p_1_0-768x215.jpg)
Symmetries of the Points on a Unit Circle
![](https://www.spacexmath.com/wp-content/uploads/2021/03/r_1-1024x300.jpg)
Periodic functions
![](https://www.spacexmath.com/wp-content/uploads/2021/03/r_2-1024x165.jpg)
Periodicity of Trigonometric functions
![](https://www.spacexmath.com/wp-content/uploads/2021/03/r_3-3-1024x184.jpg)
![](https://www.spacexmath.com/wp-content/uploads/2021/03/Q_6-1024x378.png)