trying to fix merge issue

This commit is contained in:
2025-11-12 17:11:34 +01:00
2 changed files with 28 additions and 8 deletions

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@@ -90,9 +90,23 @@
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@@ -149,7 +163,8 @@
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@@ -213,13 +228,13 @@
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@@ -237,7 +252,7 @@
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@@ -251,15 +266,16 @@
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@@ -6,6 +6,10 @@
- Ex: $$\begin{align}180^\circ=\pi\text{ rad}\\\frac{\pi}{3}\text{ rad}=30^\circ\\\frac{\pi}{4}\text{ rad}=45^\circ\\\frac{\pi}{3}\text{ rad}=60^\circ\\\frac{\pi}{2}\text{ rad}=90^\circ\\2\pi\text{ rad}=360^\circ\end{align}$$
- The right angled triangle
- **Def**: *The trigonometric functions: *$$\begin{align}\sin\theta=\frac{\text{perpendicular}}{\text{hypotenuse}}\\\cos\theta=\frac{\text{base}}{\text{hypotenuse}}\\\tan\theta=\frac{\text{perpendicular}}{\text{base}}\end{align}$$
- In addition to above, $\csc\theta=\frac{1}{\sin\theta},\sec\theta=\frac{1}{\cos\theta},\cot\theta=\frac{1}{\tan\theta}$
- Pythagoras' formula: $p^2+b^2=h^2$
which leads to the **trigonometric identity**: $\sin^2\theta+\cos^2\theta=1$
and also $\tan^2\theta+1=\sec^2\theta$
- Dominains and ranges:
- $D_{\sin}=\mathbb{R}\;\;R_{\sin}=[-1,1]$
- $D_{\cos}=\mathbb{R}\;\;R_{\cos}=[-1,1]$