# Trigonometri



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link: bakgrunnsstoff/teori
link-type: doc
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**Pytagoras' setning, formlikhet og vinkler**


^^^

$$
\angle A + \angle B + \angle C = 180\degree
$$

$$
a^2 = b^2 + c^2
$$

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link: definisjoner/teori
link-type: doc
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$\sin v$, $\cos v$ og $\tan v$


^^^

\begin{align*}
    \sin \angle A &= \dfrac{\mathrm{mot}}{\mathrm{hyp}} \\
    \cos \angle A &= \dfrac{\mathrm{hos}}{\mathrm{hyp}} \\
    \tan \angle A &= \dfrac{\mathrm{mot}}{\mathrm{hos}}
\end{align*}

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link: arealsetningen/teori
link-type: doc
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**Arealsetningen**


^^^

\begin{align*}
    T &= \dfrac{1}{2} bc \sin A \\
    T &= \dfrac{1}{2} ac \sin B \\
    T &= \dfrac{1}{2} ab \sin C \\
\end{align*}

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link: enhetssirkelen/teori
link-type: doc
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**Enhetssirkelen**


^^^

$$
(x, y) = (\cos v, \sin v)
$$

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link: sinussetningen/teori
link-type: doc
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**Sinussetningen**


^^^

$$
\dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c}
$$

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link: cosinussetningen/teori
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**Cosinussetningen**


^^^

$$
a^2 = b^2 + c^2 - 2bc \cos A
$$

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