How to Calculate Atan Degrees in Excel
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The arctangent (ATAN) function in Excel calculates the angle whose tangent is a given number. This guide explains how to use Excel's ATAN function to get results in degrees, with practical examples and a built-in calculator.
What is ATAN in Excel?
The ATAN function in Excel returns the arctangent of a number in radians. However, most practical applications require degrees. This guide shows you how to calculate ATAN in degrees using Excel's built-in functions.
The arctangent function (ATAN) is the inverse of the tangent function. It returns angles between -90° and 90°.
Excel ATAN Formula
To calculate ATAN in degrees, you need to combine Excel's ATAN and DEGREES functions:
=DEGREES(ATAN(number))
Where "number" is the tangent value you want to find the angle for.
Key Points
- The ATAN function returns results in radians
- The DEGREES function converts radians to degrees
- Results range from -90 to 90 degrees
Step-by-Step Guide
- Open your Excel spreadsheet
- Enter your tangent value in a cell (e.g., A1)
- In another cell, enter the formula:
=DEGREES(ATAN(A1)) - Press Enter to see the result in degrees
For angles outside the -90° to 90° range, use the ATAN2 function which returns angles between -180° and 180°.
Worked Examples
| Tangent Value | Formula | Result (Degrees) |
|---|---|---|
| 1 | =DEGREES(ATAN(1)) | 45 |
| 0.5 | =DEGREES(ATAN(0.5)) | 26.565 |
| -1 | =DEGREES(ATAN(-1)) | -45 |
These examples show how the ATAN function works with different input values.
FAQ
What is the difference between ATAN and ATAN2 in Excel?
ATAN returns angles between -90° and 90°, while ATAN2 returns angles between -180° and 180° based on the signs of both x and y coordinates.
Can I use ATAN with complex numbers in Excel?
No, the ATAN function in Excel only works with real numbers. For complex numbers, you would need to use additional calculations or a programming language.
What happens if I enter a very large number in ATAN?
For very large numbers, the result will approach 90° (or -90° for negative inputs) because the tangent function approaches infinity.