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Excel ATAN Function

Excel ATAN function
Summary 

The Excel ATAN function returns the inverse tangent of a number. The function is the inverse of TAN.

Purpose 
Get arctangent of a number
Return value 
The angle in radians.
Syntax 
=ATAN (number)
Arguments 
  • number - The value to get the inverse tangent of.
Usage notes 

The Excel ATAN function returns the inverse tangent or arc-tangent of a number. In geometric terms, the function returns the angle of a right-triangle given the ratio of its opposite side over its adjacent side. The ATAN function is the inverse of the TAN function. For example, if the length of a right-triangle's adjacent side is 3 and the length of its opposite side is 3 to find the angle of the triangle the formula is:

=ATAN(3/3) // Returns 0.785 radians

Convert Result to Degrees

ATAN returns the angle in degrees. To convert the result from radians to degrees, multiply the result by 180/PI() or use the DEGREES function. For example, to onver the result of ATAN(1) to degrees, you can use either formula below:

=ATAN(1)*180/PI() // Returns 45 degrees
=DEGREES(ATAN(1)) // Returns 45 degrees

Difference Between ATAN and ATAN2

The ATAN2 function is useful for getting the angle corresponding to a point in the Cartesian Coordinate System which forms the shape of a right-triangle. For points in the first and fourth quadrants of the coordinate system, ATAN and ATAN2 will return the same angle as expressed in the formula:

=ATAN(y/x)=ATAN2(x,y)

For points in the second and third quadrants of the coordinate system, the ATAN function will return the angle relative to the negative x-axis direction. The ATAN2 function, by comparison, returns the angle relative to the positive x-axis which is the standard for measuring angles.

Excel ATAN2 Versus ATAN Function

Graph

Graph of ATAN Function

The graph of ATAN, shown above, visualizes the output of the function. Output of the function is limited to the range from -π/2 to π/2.

Images courtesy of wumbo.net.