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

9.4 Trigonometric Functions

Definitions
Sine, cosine and tangent are terms designating the ratios of sides of
right triangles. In this case:
Sine: sin = a / c
Cosine: cos = b / c
Tangent: tan = a / b = sin
where
c is the side opposite the right angle
a is the side opposite the angle
b is the third side.
The TNC can find the angle from the tangent:
= arc tan (a / b) = arc tan (sin
Example:
a = 25 mm
b = 50 mm
= arctan (a / b) = arctan 0.5 = 26.57°
Furthermore:
a² + b² = c² (where a² = a x a)
c = (a² + b²)
HEIDENHAIN iTNC 530
/ cos
/ cos )
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