# ATAN2

In this comprehensive guide, we will explore everything you need to know about the ATAN2 function in Excel. The ATAN2 function is a trigonometric function that calculates the arctangent of the quotient of two specified numbers, returning the angle in radians between the positive x-axis and the point (x, y) on the plane. This function is particularly useful in various mathematical and engineering applications, such as calculating the angle between two points or determining the direction of a vector.

## ATAN2 Syntax

The syntax for the ATAN2 function in Excel is as follows:

ATAN2(y, x)

Where:

• y is the y-coordinate of the point on the plane.
• x is the x-coordinate of the point on the plane.

Note that the order of the arguments is (y, x) and not (x, y), which is a common source of confusion for users.

## ATAN2 Examples

Let’s take a look at some examples of how to use the ATAN2 function in Excel:

Example 1: Calculate the angle between the positive x-axis and the point (3, 4) on the plane.

=ATAN2(4, 3)

This formula returns the angle in radians, approximately 0.93 radians.

Example 2: Calculate the angle between the positive x-axis and the point (-3, 4) on the plane.

=ATAN2(4, -3)

This formula returns the angle in radians, approximately 2.21 radians.

Example 3: Calculate the angle between two points (2, 3) and (5, 7) on the plane.

=ATAN2(7 – 3, 5 – 2)

This formula returns the angle in radians, approximately 0.93 radians.

## ATAN2 Tips & Tricks

Here are some tips and tricks to help you get the most out of the ATAN2 function in Excel:

• Remember that the ATAN2 function returns the angle in radians. To convert the result to degrees, use the DEGREES function, like this: =DEGREES(ATAN2(y, x)).
• If you need to calculate the arctangent of a single number, use the ATAN function instead of ATAN2.
• Keep in mind that the order of the arguments is (y, x), not (x, y). This is a common source of confusion and errors.

## Common Mistakes When Using ATAN2

Here are some common mistakes users make when using the ATAN2 function in Excel:

• Using the wrong order of arguments: Remember that the correct order is (y, x), not (x, y).
• Forgetting to convert radians to degrees: The ATAN2 function returns the angle in radians. If you need the result in degrees, use the DEGREES function to convert it.
• Using ATAN2 when ATAN is more appropriate: If you only need to calculate the arctangent of a single number, use the ATAN function instead.

## Why Isn’t My ATAN2 Working?

If you’re having trouble with the ATAN2 function in Excel, consider the following possible issues:

• Check the order of the arguments: Make sure you’re using (y, x) and not (x, y).
• Ensure that you’re using the correct function: If you only need to calculate the arctangent of a single number, use the ATAN function instead of ATAN2.
• Verify that your input values are correct: Double-check your coordinates and make sure they’re accurate.

## ATAN2: Related Formulae

Here are some related formulae that you might find useful when working with the ATAN2 function in Excel:

• ATAN: Calculates the arctangent of a single number. Syntax: =ATAN(number).
• SIN: Calculates the sine of an angle in radians. Syntax: =SIN(angle).
• COS: Calculates the cosine of an angle in radians. Syntax: =COS(angle).
• TAN: Calculates the tangent of an angle in radians. Syntax: =TAN(angle).
• DEGREES: Converts an angle in radians to degrees. Syntax: =DEGREES(angle).

By mastering the ATAN2 function and its related formulae, you’ll be well-equipped to tackle a wide range of mathematical and engineering problems in Excel. Happy calculating!

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