HEIDENHAIN iTNC 530 (60642x-04) ISO programming - Manual (Page 291)

HEIDENHAIN iTNC 530 291
9.4
Tr
ig
onometr
ic
functions
9.4 Trigonometric functions
Definitions
Sine, cosine and tangent are terms designating the ratios of sides of
right triangles. In this case:
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)
b
c
a
Þ
Sine: sin
α
= a / c
Cosine: cos α = b / c
Tangent: tan
α
= a / b = sin
α
/ cos
α
c (a² + b²) =