HEIDENHAIN TNC 320 (77185x-01) ISO programming - Manual (Page 254)

Programming: Q Parameters
9.4 Angle functions (trigonometry)
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TNC 320 | User's Manual for DIN/ISO Programming | 3/2014
9.4 Angle functions (trigonometry)
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 ANGLE FUNCTION soft key to call the trigonometric
functions. The TNC then displays the soft keys below.
Programming: Compare "Example: Programming fundamental
operations."
Function Soft key
D06: SINE
e.g.
D06 Q20 P01 -Q5 *
Define and assign the sine of an angle in degrees
(°)
D07: COSINE
e.g.
D07 Q21 P01 -Q5 *
Define and assign the cosine of an angle in
degrees (°)
D08: SQUARE ROOT FROM SQUARE SUM
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 *
Form and assign an angle with arctan from two
sides or with sine and cosine of the angle (0 <
angle < 360°)