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Programming Q Parameters | Angle functions
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HEIDENHAIN | TNC 640 | Conversational Programming User's Manual | 10/2017
10.4 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 control 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 control then displays the soft keys listed in the table
below:
Soft key Function
FN 6
: SINUS
e. g.,
FN 6: Q20 = SIN-Q5
Calculate and assign the sine of an angle in
degrees (°)
FN 7
: COSINE
e. g.,
FN 7: Q21 = COS-Q5
Calculate and assign the cosine of an angle in
degrees (°)
FN 8
: ROOT SUM OF SQUARES
e. g.,
FN 8: Q10 = +5 LEN +4
Calculate and assign lengths from two values
FN 13
: ANGLE
e. g.,
FN 13: Q20 = +25 ANG-Q1
Calculate and assign an angle with the arc
tangent from the opposite and adjacent sides or
with the sine and cosine of the angle (0 < angle
< 360°)