HEIDENHAIN TNC 640 (34059x-05) - Manual (Page 305)

Angle functions 9.4
9
TNC 640 | User's Manual
HEIDENHAIN Conversational Programming | 1/2015
305
9.4 Angle functions
Definitions
Sine: sin
α = a / c
Cosine: cos
α = b / c
Tangent: tan
α = a / b = sin α / cos α
where
c is the side opposite the right angle
a is the side opposite the angle
α
b is the third side.
The TNC can find the angle from the tangent:
α = arctan (a / b) = arctan (sin α / cos α)
Example:
a = 25 mm
b = 50 mm
α = arctan (a / b) = arctan 0.5 = 26.57°
Furthermore:
a² + b² = c² (where a² = a x a)
c =
√ (a
2 + b 2 )
Programming trigonometric functions
Press the soft key to call the trigonometric functions. The TNC
then displays the soft keys that are listed in the table below.
Soft key Function
FN 6: SINUS
e. g.
FN 6: Q20 = SIN-Q5
Define and assign the sinus of an angle in
degrees (°)
FN 7: COSINUS
e. g.
FN 7: Q21 = COS-Q5
Define and assign the cosine of an angle in
degrees (°)
FN 8: ROOT SUM OF SQUARES
e. g.
FN 8: Q10 = +5 LEN +4
Form and assign length from two values
FN 13: ANGLE
e. g.
FN 13: Q20 = +25 ANG-Q1
Calculate the angle from the arc tangent of two
sides or from the sine and cosine of the angle
(0 < angle < 360°) and assign it to a parameter