Angle Functions (Trigonometry) - HEIDENHAIN TNC 620 User Manual

8
Programming: Q Parameters
8.4

Angle functions (trigonometry)

8.4 Angle functions (trigonometry)
Definitions
sin α = a / c
Sine:
cos α = b / c
Cosine:
tan α = a / b = sin α / cos α
Tangent:
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
FN 6: SINE
e.g. FN 6: Q20 = SIN-Q5
Define and assign the sine of an angle in degrees
(°)
FN 7: COSINE
e.g. FN 7: Q21 = COS-Q5
Define and assign the cosine of an angle in
degrees (°)
FN 8: SQUARE ROOT FROM SQUARE SUM
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
Form and assign an angle with arctan from two
sides or with sine and cosine of the angle (0 <
angle < 360°)
246
Soft key
HEIDENHAIN Conversational Programming | 5/2013
TNC 620 | User's Manual