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fil-styring - heidenhain

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11.4 Vinkelfunktioner<br />

(Trigonometri)<br />

Definitioner<br />

Sinus, Cosinus og Tangens beskriver sideforholdene i en retvinklet<br />

trekant. Hertil svarer<br />

Sinus: sin a = a / c<br />

Cosinus: cos a = b / c<br />

Tangens: tan a= a / b = sin a/ cos a<br />

Hertil er<br />

c siden overfor den rette vinkel<br />

a siden overfor vinklen a<br />

b den tredie side<br />

Med tangens kan TNC´en fremskaffe vinklen:<br />

a= arctan (a / b) = arctan (sin a/ cos a)<br />

Eksempel:<br />

a = 25 mm<br />

b = 50 mm<br />

a= arctan (a / b) = arctan 0,5 = 26,57°<br />

Herudover gælder:<br />

a² + b² = c² (med a² = a x a)<br />

c =<br />

(a² + b²)<br />

HEIDENHAIN iTNC 530 483<br />

α<br />

c<br />

b<br />

a<br />

11.4 Vinkelfunktioner (Trigonometri)

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