Trigonometric functions folder

Application

In the Trigonometric functions folder of the Insert NC function window, the control provides the functions FN 6 to FN 8 and FN 13.

You can use these functions to calculate trigonometric functions for purposes such as programming variable triangular contours.

Description of function

The Trigonometric functions folder contains the following functions:

Icon

Function

ProgramFn6Icon

FN 6: SINE
e. g., FN 6: Q20 = SIN-Q5
Calculate and assign the sine of an angle in degrees (°)

ProgramFn7Icon

FN 7: COSINE
e. g., FN 7: Q21 = COS-Q5
Calculate and assign the cosine of an angle in degrees (°)

ProgramFn8Icon

FN 8: ROOT SUM OF SQUARES
e. g., FN 8: Q10 = +5 LEN +4
Calculate and assign length from two values

ProgramFn13Icon

FN 13: ANGLE
e. g., FN 13: Q20 = +25 ANG-Q1
Calculate and assign an angle with the arc tangent of the opposite and adjacent sides of the triangle or with the sine and cosine of the angle (0 < angle < 360°).

Definition

8H000171

Side or trigonometric function

Meaning

a

Side opposite angle α

b

Third side

c

Side opposite right angle

Sine

sin α = a / c

Cosine

cos α = b / c

Tangent

tan α = a / b = sin α / cos α

Arc tangent

α = arctan (a / b) = arctan (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)

c = (a2 + b2)