4 trigonometric functions, Definitions – HEIDENHAIN TNC 620 (73498x-01) ISO programming User Manual
Page 216
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216
Programming: Q parameters
8.4 T
rig
onometr
ic functions
8.4 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)
=
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