Angle Functions; Definitions; Programming Trigonometric Functions - HEIDENHAIN TNC 620 User Manual

9
Programming: Q Parameters
9.4

Angle functions

9.4 Angle functions

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 TRIGONOMETRY 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 sine 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 the
opposite and adjacent sides or from the sine
and cosine of the angle (0 < angle < 360°) and
assign it to a parameter
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HEIDENHAIN | TNC 620 | Conversational Programming User's Manual | 10/2015