The ATAN2 function in Google Sheets is a powerful tool for calculating the angle of a point in relation to the x-axis. It effectively returns the arctangent of the two specified coordinates, allowing users to determine the orientation of a vector defined by these coordinates.

Syntax

ATAN2(y, x)

• y: The vertical coordinate of the point.
• x: The horizontal coordinate of the point.

Example #1

=ATAN2(1, 1)

This function calculates the angle between the line to the point (1, 1) and the x-axis. The result is approximately 0.785 radians, which corresponds to 45 degrees.

Example #2

=ATAN2(-1, -1)

In this instance, the function determines the angle to the point (-1, -1), resulting in approximately -2.356 radians, which points to the direction of 225 degrees.

Example #3

=ATAN2(0, 1)

This calculation evaluates the angle to the point (0, 1), giving a result of 0 radians, indicating a direct upward orientation along the y-axis.

Error handling

• DIV/0! This error occurs if both parameters are zero; the function cannot determine an angle in this case.
• VALUE! This error arises if either of the inputs is non-numeric, as the function expects numerical values.

Conclusion

The ATAN2 function is essential for anyone working with polar coordinates or requiring angle calculations based on Cartesian points. Its versatility in handling both positive and negative coordinates makes it a valuable asset in data analysis and graphical representation in Google Sheets.