HEIDENHAIN TNC 410 - Manual (Page 223)

10 Programming: Q Parameters 210
1
0
.4
T
rig
onometr
ic
F
unctions
b
c
a
α
Function Soft key
FN6: SINE
Example: FN6: Q20 = SIN–Q5
Calculate the sine of an angle in
degrees (°)
and assign it to a parameter.
FN7: COSINE
Example: FN7: Q21 = COS–Q5
Calculate the cosine of an angle in
degrees (°) and assign it to a parameter.
FN8: ROOT-SUM OF SQUARES
Example: FN8: Q10 = +5 LEN +4
Calculate and assign length from two values
FN13: ANGLE
Example: FN13: Q20 = +10 ANG–Q1
Calculate the angle from the arc tangent
of two sides or from the sine and cosine
of the angle (0 < angle < 360°) and
assign it to a parameter.
The TNC displays the following program blocks:
16 FN0: Q5 = +10
17 FN3: Q12 = +Q5 * +7
10.4 Trigonometric Functions
Sine, cosine and tangent are terms designating the ratios of sides
of right triangles. For a right triangle, the trigonometric functions of
the angle
a are defined by the following equations:
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 a
■ b is the third side.
The TNC can find the angle from the tangent
α
= arctan
α
= arctan (a / b) = arctan (sin
α
/ cos
α
)
Example:
a = 10 mm
b = 10 mm
α
= arctan (a / b) = arctan 1 = 45°
Furthermore:
a 2 + b 2 = c 2 (where a 2 = 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 at right.
Programming: See „Example: Programming
fundamental operations“.