**Public Function ARG( _
ByVal vX As Variant _
) As Variant**

**"Argument" **

Returns the polar angle of a rectangular coordinate pair represented by a complex number.

**Examples:** Arg("1|1") = 0.785398163397448
Arg("2|2") = 0.785398163397448
Arg("2|3") = 0.982793723247329
Arg("2|4") = 1.10714871779409
Arg("-2|-2") = -2.46740110027234
Arg("-2|-4") = -3.47821027825327
Arg("2|0") = 0
IsNull(Arg("0|2")) = True

**See also:** Absolute Function

**vX:** A complex number representing the rectangular coordinates whose argument is returned. The real part represents the X-coordinate and the imaginary part represents the Y-coordinate. Function returns Null if vX is Null or cannot be fixed up to a real or complex number (as defined by the ComplexStringToReals function). Complex numbers are represented within strings as "R|I" where R is the real part and I is the imaginary part. **Definition:**

RealPart >= 0: ATan(RealPart / ImagPart)
RealPart < 0: ATan(RealPart / ImagPart) * Pi * Sign(ImagPart)

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