HEIDENHAIN ITNC 530 - 6-2010 DIN-ISO PROGRAMMING - Trigonometric Functions

HEIDENHAIN iTNC 530 261
9.4 Trigonometric 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 = arc tan (a / b) = arc tan (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)=