The 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 |
---|---|
FN 6: Sine Example: FN 6: Q20 = SIN –Q5 Q20 = sin(–Q5) Calculate and assign the sine of an angle in degrees | |
FN 7: Cosine Example: FN 7: Q21 = COS –Q5 Q21 = cos(–Q5) Calculate and assign the cosine of an angle in degrees | |
FN 8: Root of the sum of squares Example: FN 8: Q10 = +5 LEN +4 Q10 = √(52+42) Calculate and assign the length based on two values (e.g., to calculate the third side of a triangle). | |
FN 13: angle Example: FN 13: Q20 = +25 ANG –Q1 Q20 = arctan(25/–Q1) Calculate and assign the angle from the opposite side and the adjacent side using arctan or from the sine and cosine of the angle (0 < angle < 360°) |
To the left of the equal sign, define the variable to which the result should be assigned.
To the right of the equal sign, you can use fixed or variable values. The variables and numerical values in the equations can be entered with an algebraic sign.
Definition
Side or trigonometric function | Meaning |
---|---|
a | Opposite side The side opposite to angle α |
b | Adjacent side The side adjacent to angle α |
c | Hypotenuse The longest side of the triangle, opposite to the right angle |
Sine | sin α = opposite side/hypotenuse sin α = a/c |
Cosine | cos α = adjacent side/hypotenuse cos α = b/c |
Tangent | tan α = opposite side/adjacent side tan α = a/b or tan α = sin α/cos α |
Arc tangent | α = arctan(a/b) or α = 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*a)
c = √(a2+b2)
11 Q50 = ATAN ( +25 / +50 ) | Calculate angle α |
12 FN 8: Q51 = +25 LEN +50 | Calculate side length c |