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ATAN2 function

Tue Jul 16, 2019 11:17 am

ATAN2 function



This article describes the formula syntax and usage of the ATAN2 function in Microsoft Excel.



Description Returns the arctangent, or inverse tangent, of the specified x- and y-coordinates. The arctangent is the angle from the x-axis to a line containing the origin (0, 0) and a point with coordinates (x_num, y_num). The angle is given in radians between -pi and pi, excluding -pi.



Syntax ATAN2(x_num, y_num) The ATAN2 function syntax has the following arguments:
  • X_num Required. The x-coordinate of the point.
  • Y_num Required. The y-coordinate of the point.


Remarks
  • A positive result represents a counterclockwise angle from the x-axis; a negative result represents a clockwise angle.

    ATAN2(a,b) equals ATAN(b/a), except that a can equal 0 in ATAN2.
  • If both x_num and y_num are 0, ATAN2 returns the #DIV/0! error value.
  • To express the arctangent in degrees, multiply the result by 180/PI( ) or use the DEGREES function.


The function is defined as follows for ????? < atan2(y, x) ??? ??



Image





Example Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.


Formula


Description


Result


=ATAN2(1, 1)


Arctangent of the point 1,1 in radians, pi/4


0.785398163


=ATAN2(-1, 1)


Arctangent of the point -1,-1 in radians, 3*pi/4


2.35619449


=ATAN2(1, 1)*180/PI()


Arctangent of the point 1,1 in degrees


45


=DEGREES(ATAN2(1, -1))


Arctangent of the point 1,-1 in degrees


-45