## Practice 1: No Decimal approximation!
```{ojs}
//| echo: false
import {make_positionC} from '@kkim/ma121'
pos=make_positionC(12,-5,'A')
```
:::{layout="[4,2]"}
Find the exact value of all six trigonometric functions of the angle $A$. 

<div>
${pos.show()}
</div>
:::

<details>
<summary>Show</summary> 
::: {.panel-tabset}
## $r$
$$
r=\sqrt{\left(12\right)^2+\left(-5\right)^2}=\sqrt{169}=13$$

## $\sin,\csc$
$$
\sin A=\frac{y}{r}={\color{red}-\frac{5}{13}},\csc A={\color{red}-\frac{13}{5}}
$$

## $\cos,\sec$
$$\cos A=\frac{x}{r}={\color{red}\frac{12}{13}},~
\sec A={\color{red}\frac{13}{12}}$$

## $\tan,\cot$
$$\tan A=\frac{x}{y}={\color{red}-\frac{5}{12}},~
\cot A={\color{red}-\frac{12}{5}}$$
:::
</details>