# 2022-08-11

## Todo
- [ ] spaced repetition
- [ ] kung-fu
- [x] #task exercices evelyne ✅ 2022-08-11
    - [x] simplifier :
        - [x] #task $y=\arg\sh(2x \sqrt{1+x^{2}})$ ✅ 2022-08-11
        - [x] #task $y=\arg\th\left(\dfrac{x^{2}-1}{x^{2}+1}\right)$ ✅ 2022-08-11
    - [x] #task on pose $t = \arctan(\sh x)$ ✅ 2022-08-22
        - [x] établir les relations :
            - [x] $\tan t = \sh x$  
            - [x] $\dfrac{1}{\cos t} = \ch(x)$  
            - [x] $\sin t = \th(x)$  
        - [x] montrer que $x = \ln\left(\tan\left(\dfrac{t}{2}+\dfrac{\pi}{4}\right)\right)$  

## I did

> [!todo] tasks done today
> ```tasks
> done 2022-08-11
> short mode
> ```


## I am g. atefull to