# Google Sheets ATAN2 Function: Syntax, Examples & Tips - URL: https://betteranalyst.com/google-sheets/atan2-function - Author: Better Analyst Formula Bot is now Better Analyst—same account, more powerful analysis.Formula Bot is now Better Analyst—same account and workflows, with more powerful analysis, dashboards, and automation. [Learn what changed](https://betteranalyst.com/formula-bot-is-now-better-analyst) The ATAN2 function calculates the arctangent of the quotient of its arguments, returning the angle in radians between the positive x-axis and the point (x, y). ``` ATAN2(x, y) ``` Generate FormulaExplain Formula One free generation or explanation per browser, shared across Excel and Google Sheets. Account usage limits apply afterward. Describe the ATAN2 you need in plain EnglishGenerate Formula ## Parameters **`x`**:\ The x-coordinate (horizontal coordinate) for which you want to calculate the arctangent. **`y`**:\ The y-coordinate (vertical coordinate) for which you want to calculate the arctangent. ## What is ATAN2? The *ATAN2* function in Google Sheets is a mathematical function that calculates the arctangent of the quotient of its two arguments. It is particularly useful for converting Cartesian coordinates (x, y) into polar coordinates (r, θ), where θ is the angle in radians. The ATAN2 function takes into account the signs of both arguments to determine the correct quadrant of the angle, making it a reliable choice for angle calculations. In simpler terms, ATAN2 allows you to find the angle between the positive x-axis and the point represented by the coordinates (x, y). ## A Practical Example Imagine you are working on a project that involves plotting points on a Cartesian plane, and you need to calculate the angle for each point based on its coordinates. ### Coordinates Table: | Point | X | Y | | - | - | - | | A | 3 | 4 | | B | -2 | 5 | | C | -3 | -3 | | D | 1 | -1 | You want to find the angle (in radians) for each point relative to the origin (0, 0). ## ATAN2 Formula To achieve this, you would use the ATAN2 function as follows: ``` =ATAN2(B2, C2) ``` In this formula: - `B2` is the cell containing the Y-coordinate of the point. - `C2` is the cell containing the X-coordinate of the point. ## Result of the Formula When you apply the ATAN2 formula to the Coordinates Table, the output would look like this: | Point | X | Y | Angle (radians) | | - | - | - | - | | A | 3 | 4 | 0.927 | | B | -2 | 5 | 2.678 | | C | -3 | -3 | -2.356 | | D | 1 | -1 | -0.785 | In this case, the ATAN2 function calculates the angle for each point based on its coordinates. ## Why Use ATAN2? ATAN2 is beneficial because it simplifies the process of calculating angles in a Cartesian coordinate system. It automatically handles the signs of the coordinates to determine the correct angle quadrant, which can be complex if done manually. This makes it an essential function for applications in geometry, physics, and engineering. ## Key Takeaways: - **ATAN2**: A mathematical function that calculates the arctangent of the quotient of its two arguments, providing the angle in radians. - **Quadrant Awareness**: Takes into account the signs of both x and y coordinates to determine the correct angle quadrant. - **Common Use Cases**: Ideal for converting Cartesian coordinates to polar coordinates, as well as in various fields such as physics, engineering, and computer graphics. ATAN2 is an essential function for anyone working with angles and coordinates in Google Sheets, providing a straightforward way to enhance mathematical calculations and data analysis. Happy spreadsheeting! ## Example use case You have a table with coordinates in Column A (X values) and Column B (Y values). You can use the ATAN2 formula to calculate the angle of each point relative to the origin, allowing for quick analysis of directional data in a graphical representation. ## Need more help with Google Sheets formulas? Sign up for Better Analyst and get unlimited AI-powered formula generation, explanations, and advanced data analysis. [Create Free Account](https://betteranalyst.com/signup)[Try Formula Generator](https://betteranalyst.com/excel-ai) ## Google Sheets how-to guides - [How To Wrap Text In Google Sheets](https://betteranalyst.com/google-sheets/how-to-wrap-text-in-google-sheets) - [Google Sheets Conditional Formatting](https://betteranalyst.com/google-sheets/google-sheets-conditional-formatting) - [How To Add A Column In Google Sheets](https://betteranalyst.com/google-sheets/how-to-add-a-column-in-google-sheets) - [How To Alphabetize In Google Sheets](https://betteranalyst.com/google-sheets/how-to-alphabetize-in-google-sheets) - [How To Autofit In Google Sheets](https://betteranalyst.com/google-sheets/how-to-autofit-in-google-sheets) - [How To Calculate Percentage In Google Sheets](https://betteranalyst.com/google-sheets/how-to-calculate-percentage-in-google-sheets) - [How To Combine Two Columns In Google Sheets](https://betteranalyst.com/google-sheets/how-to-combine-two-columns-in-google-sheets) - [How To Copy Formula In Google Sheets](https://betteranalyst.com/google-sheets/how-to-copy-formula-in-google-sheets) ## Explore all Google Sheets formulas Browse our complete library of Google Sheets formula guides Compare your options ## Decide with evidence, not a sales pitch. 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