arctangent function
Note that in the notation (commonly used in North America and in pocket calculators worldwide), denotes the tangent and the inverse function, not the multiplicative inverse. The principal value of the inverse tangent is implemented as ArcTan[z] in the Wolfram Language. In the GNU C library, it is implemented as atan(double x). The inverse tangent is a multivalued function and hence requires a branch cut in the complex plane, which the Wolfram Language's convention places at and . This follows from the definition of as (1) This Excel tutorial explains how to use the Excel ATN function with syntax and examples. The Microsoft Excel ATN function returns the arctangent of a number. The ATN function is a built-in function in Excel that is categorized as a Math/Trig Function. It can be used as a VBA function (VBA) in Excel. As a VBA function, you can use this function in macro code that is entered through the Microsoft Visual Basic Editor. Arccos function; Arcsin function; Arctan function; Cosine function; Sine function; Tangent function; RAPID TABLES. Recommend Site; Send Feedback; About Inverse Tangent. The inverse tangent is the multivalued function (Zwillinger 1995, p. 465), also denoted (Abramowitz and Stegun 1972, p. 79; Harris and Stocker 1998, p. 311; Jeffrey 2000, p. 124) or (Spanier and Oldham 1987, p. 333; Gradshteyn and Ryzhik 2000, p. 208; Jeffrey 2000, p. 127), that is the inverse function of the tangent. Tangent of arctangent: tan( arctan x) = x: Arctan of negative argument: arctan(-x) = - arctan x: Arctan sum: arctan α + arctan β = arctan [(α+β) / (1-αβ)] Arctan difference: arctan α - arctan β = arctan [(α-β) / (1+αβ)] Sine of arctangent: Cosine of arctangent: Reciprocal argument: Arctan from arcsin: Derivative of arctan Tangent function; Arccosine function; Arcsine function; Arctan of 0; Arctan of 1; Arctan of 2; Arctan of infinity; Derivative of arctan; Integral of arctan; Sine of arctan; Cosine of arctan; Arctan graph; Arctan calculator; Degrees to radians converter The arctangent of x is defined as the inverse tangent function of x when x is real (x ∈ℝ). When the tangent of y is equal to x: tan y = x. Then the arctangent of x is equal to the inverse tangent function of x, which is equal to y: arctan x= tan-1 x = y. Example. arctan 1 = tan-1 1 = π/4 rad = 45° Graph of arctan. Arctan rules Arctangent function. Arctan(x), tan-1 (x), inverse tangent function. Definition of arctan; Graph of arctan; Arctan rules; Arctan table; Arctan calculator; Arctan definition. The arctangent of x is defined as the inverse tangent function of x when x is real (x ∈ℝ). When the tangent of y is equal to x: tan y = x This Excel tutorial explains how to use the Excel ATN function with syntax and examples. Description The Microsoft Excel ATN function returns the arctangent of a number. The syntax for the ATN function in Microsoft Excel is: Atn( number ) Parameters or Arguments number A numeric expression that is used to calculate the arctangent.
The arctangent of x is defined as the inverse tangent function of x when x is real (x ∈ℝ).