Characteristics of the Tangent and Cotangent Functions

$$\tan\left(0\degree\right)$$

$$\tan\left(90\degree\right)$$

$$\tan\left(\frac{2\pi}{3}\right)$$

$$\tan\left(360\degree\right)$$

$$\tan\left(\frac{3\pi}{2}\right)$$

sine

cosine

tangent

cotangent

$$\frac{\sin x}{\cos x}$$  

$$\frac{1}{\cos x}$$  

$$\frac{\cos x}{\sin x}$$  

$$x^2+y^2$$  

$$\frac{\sin x}{\cos x}$$  

$$\frac{1}{\sin x}$$  

$$\frac{\cos x}{\sin x}$$  

$$\frac{1}{\cos x}$$  

$$-\sqrt{3}$$  

$$\sqrt{3}$$  

$$-\frac{\sqrt{3}}{3}$$  

$$\frac{\sqrt{3}}{3}$$  

$$-\sqrt{3}$$  

$$\sqrt{3}$$  

$$-\frac{\sqrt{3}}{3}$$  

$$\frac{\sqrt{3}}{3}$$