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
Summary of Contents for TNC 620 Programming Station
Page 4: ......
Page 5: ...Fundamentals ...
Page 28: ...Contents 28 HEIDENHAIN TNC 620 ISO Programming User s Manual 9 2016 ...
Page 57: ...1 First Steps with the TNC 620 ...
Page 77: ...2 Introduction ...
Page 110: ......
Page 111: ...3 Fundamentals file management ...
Page 166: ......
Page 167: ...4 Programming aids ...
Page 194: ......
Page 195: ...5 Tools ...
Page 234: ......
Page 235: ...6 Programming contours ...
Page 284: ......
Page 285: ...7 Data transfer from CAD files ...
Page 304: ......
Page 305: ...8 Subprograms and program section repeats ...
Page 323: ...9 Programming Q parameters ...
Page 384: ......
Page 385: ...10 Miscellaneous functions ...
Page 407: ...11 Special functions ...
Page 433: ...12 Multiple axis machining ...
Page 475: ...13 Pallet management ...
Page 480: ......
Page 481: ...14 Manual Operation and Setup ...
Page 549: ...15 Positioning with Manual Data Input ...
Page 554: ......
Page 555: ...16 Test Run and Program Run ...
Page 590: ......
Page 591: ...17 MOD Functions ...
Page 622: ......
Page 623: ...18 Tables and Overviews ...