Unit Circle

The Unit Circle is a circle with a radius of 1 centered at the origin (0,0) in the coordinate plane, used to define trigonometric functions.

It is called the cosecant function, denoted as $$\text{csc}(\theta)$$ .

It is called the secant function, denoted as $$\text{sec}(\theta)$$ .

It is called the tangent function, denoted as $$\text{tan}(\theta)$$ .

It is equal to $$-\text{sin}(\theta)$$ , demonstrating the odd function property of sine.

It is equal to $$\text{cos}(\theta)$$ , demonstrating the even function property of cosine.

It is equal to $$-\text{tan}(\theta)$$ , demonstrating the odd function property of tangent.

The coordinates are $$(\text{cos}(\frac{\theta}{2}), \text{sin}(\frac{\theta}{2}))$$ .

It is equal to $$\frac{1}{\text{sin}(\frac{3\theta}{2})}$$ .

It is equal to $$\frac{1}{\text{cos}(\frac{3\theta}{2})}$$ .