32. Oppgaver: Trigonometri#
Pytagoras’ setning, formlikhet og vinkler
\[
\angle A + \angle B + \angle C = 180\degree
\]
\[
a^2 = b^2 + c^2
\]
\(\sin v\), \(\cos v\) og \(\tan v\)
\[\begin{align*}
\sin \angle A &= \dfrac{\mathrm{mot}}{\mathrm{hyp}} \\
\cos \angle A &= \dfrac{\mathrm{hos}}{\mathrm{hyp}} \\
\tan \angle A &= \dfrac{\mathrm{mot}}{\mathrm{hos}}
\end{align*}\]
Arealsetningen
\[\begin{align*}
T &= \dfrac{1}{2} bc \sin A \\
T &= \dfrac{1}{2} ac \sin B \\
T &= \dfrac{1}{2} ab \sin C \\
\end{align*}\]
Enhetssirkelen
\[
(x, y) = (\cos v, \sin v)
\]
Sinussetningen
\[
\dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c}
\]
Cosinussetningen
\[
a^2 = b^2 + c^2 - 2bc \cos A
\]
