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M3P2
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b08ddac3
Commit
b08ddac3
authored
Apr 27, 2026
by
Claude Meny
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Update cheatsheet.fr.md
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@@ -131,18 +131,18 @@ avec la notion de fonction
#### Formule d'Addition : $`cos(a + b)`$
**Démonstration :**
Considérons deux points $
`M`
$ et $
`N`
$ sur le cercle trigonométrique associés aux angles $
`a`
$ et $
`b`
$.
On peut utiliser la formule de la distance entre deux points dans le plan :
$
`MN^2 = (cos(a + b) - 1)^2 + (sin(a + b) - 0)^2`
$
En utilisant la rotation, on peut aussi exprimer $
`M`
$ et $
`N`
$ en fonction de $
`a`
$ et$
`b`
$ :

_1_
L1200.gif)

_2_
L1200.gif)

_3_
L1200.gif)

_4_
L1200.gif)

_5_
L1200.gif)
$
`cos(a + b) = cos(a)\,cos(b) - sin(a)\,sin(b)`
$ ??

_6_
L1200.gif)
**Résultat final :**
$
`\cos(a + b) = cos(a)\,cos(b) - sin(a)\,sin(b)`
$
...
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