4 fonctions angulaires (trigonométrie), 4 f onctions angulair es (tr ig onométr ie) – HEIDENHAIN TNC 426B (280 472) ISO programming Manuel d'utilisation
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10 Programmation: Paramètres Q
258
10.4 Fonctions angulaires (trigonométrie)
Sinus, cosinus et tangente correspondent aux rapports entre les
côtés d‘un triangle rectangle. On a:
Sinus:
sin
α
=
a / c
Cosinus:
cos
α
=
b / c
Tangente:
tan
α
=
a / b = sin
α
/ cos
α
Composantes
■
c est le côté opposé à l‘angle rectangle (hypothénuse)
■
a est le côté opposé à l‘angle (perpendiculaire opposée)
■
b est le troisième côté (côté adjacent)
La TNC peut calculer l‘angle à partir de la tangente:
α
= arctan
α
= arctan (a / b) = arctan (sin
α
/ cos
α
)
Exemple:
a = 10 mm
b = 10 mm
α
= arctan (a / b) = arctan 1 = 45°
De plus, on a:
a
2
+ b
2
= c
2
(avec a
2
= a x a)
c =
√
(a
2
+ b
2
)
Programmer les fonctions angulaires
Les fonctions angulaires apparaissent lorsque l‘on appuye sur la
softkey TRIGONOMETRIE. La TNC affiche les softkeys du tableau de
droite.
Programmation: comparer „Exemple de programmation pour
les calculs de base“.
b
c
a
α
Fonction
Softkey
D06: SINUS
Ex. D06 Q20 P01 –Q5 *
Définir le sinus d‘un angle
en degrés (°) et l‘affecter
D07: COSINUS
Ex. D07 Q21 P01 –Q5 *
Définir le cosinus d'un angle en
degrés (°) et l‘affecter
D08: RACINE DE SOMME DE CARRES
Ex. D08 Q10 P01 +5 P02 +4 *
Définir la différence de deux valeurs
et l‘affecter
D13: ANGLE
Ex. D13 Q20 P01 +10 P02 –Q1 *
Définir l‘angle avec arctan à partir
de deux côtés ou sin et cos de
l‘angle (0 < angle < 360°) et l‘affecter
1
0.4 F
onctions angulair
es (tr
ig
onométr
ie)
Mkap10.pm6
28.06.2006, 14:54
258
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