HEIDENHAIN TNC 620 (81760x-02) ISO programming - Manual (Page 297)

Angle functions 9.4
9
TNC 620 | User's ManualDIN/ISO Programming | 2/2015
297
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
D06: SINUS
e. g.
D06 Q20 P01 -Q5 *
Define and assign the sinus of an angle in
degrees (°)
D07: COSINUS
e. g.
D07 Q21 P01 -Q5 *
Define and assign the cosine of an angle in
degrees (°)
D08: ROOT SUM OF SQUARES
e. g.
D08 Q10 P01 +5 P02 +4 *
Form and assign length from two values
D13: ANGLE
e. g.
D13 Q20 P01 +10 P02 -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