20221116 Graphics of Several Trigonometric Functions

foreword

In order to facilitate the viewing of the relationship diagrams of several functions, record the approximate images of several trigonometric functions.

1. The first form

1. Trigonometric functions: $\tan (x)$，$\cos (x)$，$\sin (x)$。
   

2. The second form

2. Trigonometric functions: $\tan (\frac{x}{2})$，$\cos (\frac{x}{2})$，$\sin (\frac{x}{2})$

3. The third form

2. Trigonometric functions: $\tan (\frac{x}{2})$，$\tan (\frac{x}{2}+0.5)$，$\tan (\frac{x}{2}+1)$
   

4. The fourth form

2. Trigonometric functions: $\tan (\frac{x}{2})$，$\tan (\frac{x}{3})$，$\tan (\frac{x}{4})$
   

5. The fifth form

2. Trigonometric functions: $\frac{\sin (\frac{x}{2})}{\cos (\frac{x}{2})+0.1}$，$\frac{\sin \left(\frac{x}{2}\right)}{\cos \left(\frac{x}{2}\right)+0.5}$，$\frac{\sin \left(\frac{x}{2}\right)}{\cos \left(\frac{x}{2}\right)+1}$，$\frac{\sin (\frac{x}{2})}{\cos (\frac{x}{2})+1.1}$

Summarize

Intuitive graphs of different forms of trigonometric functions.