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Angle functions 9.4
9
HEIDENHAIN | TNC 620 | ISO Programming User's Manual | 9/2016
331
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
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
D06
: SINUS
e. g.
D06 Q20 P01 -Q5 *
Define and assign the sine 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 the
opposite and adjacent sides or from the sine
and cosine of the angle (0 < angle < 360°) and
assign it to a parameter