Siemens Sinumerik 840D Operating Turning page 73

Trigonometrical functions
The trigonometrical ratios describe the relationships between the angles
and the sides in a right angled triangle. With the aid of these trigonometri-
cal functions it is possible to calculate both angles and sides in a right an-
gled triangle. For this one side and an angle or two sides must be known.
The selection of the suitable trigonometrical function, i.e. the sine, cosine
or tangent, depends on which sides and angles are known and which side
or angle is to be found.
1. Adjacent side (AS)
2. Hypotenuse (H)
3. Opposite side (OS)
α Angle
β Angle
By the use of the various trigonometrical functions all pages and sides can
be determined.
Sine function
OS
sin α
H
Cosine function
AS
cos
H
Tangent function
OS
tan
AS
840D/828D SINUMERIK Operate
α
1
OS
H
sin
AS
H
cos
OS
AS
tan
β
OS sin α *
AS cos *
OS tan * AS
Page 5
Section 4
Notes
H
H
B504
B504