HEIDENHAIN iTNC 530 (340 49x-01) - Manual (Page 507)

HEIDENHAIN iTNC 530 507
1
1
.4 T
rig
onometr
ic F
unctions
11.4 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)
Sine: sin
α = a / c
Cosine: cos
α = b / c
Tangent: tan
α = a / b = sin α / cos α
b
c
a
α
c (a² + b²) =