'Declaration Public Class UltraCalcFunctionCos Inherits BuiltInFunctionBase
public class UltraCalcFunctionCos : BuiltInFunctionBase
COS(value)
Value is the angle measured in radians for which you want to take the cosine. If your argument must be in degrees, multiply it by PI()/180 to convert it into radians.
The cosine is an sinusoidal function with a period of 2*PI() radians. It's value is always between 1 and -1. It behaves like the sine function, SIN(), with a phase shift (phi) of -PI()/4 radians.
The cosine function value derives from the geometric ratio between the length of the adjacent (non-hypotenuse) leg to the hypotenuse of a right triangle, when the hypotenuse has a length of one. It is continuous because at intervals of PI() radians the length of the adjacent leg and the hypotenuse are equal.
Another way of looking at this function is to imagine the hypotenuse is the radius, r, of a unit circle centered on a Cartesian plane with x- and y- axes. At any point on the edge of the unit circle, the hypotenuse makes an angle, theta, with the x-axis. The cosine function value of the angle theta is the distance from the center of the circle to the point in the direction of the x-axis. Applied in this fashion, the COS() function can be used to convert between Cartesian and Polar coordinate systems.
Both interpretations are equivalent because if you drop a line from a point on the unit circle that intersects the x-axis at a right angle you form a right triangle.
These trigonometric concepts appear frequently in many engineering, architectural and scientific applications.
Target Platforms: Windows 10, Windows 8.1, Windows 8, Windows 7, Windows Vista SP1 or later, Windows XP SP3, Windows Server 2008 (Server Core not supported), Windows Server 2008 R2 (Server Core supported with SP1 or later), Windows Server 2003 SP2