ATAN2
The ATAN2 function returns the arctangent of specified x- and y-coordinates. It represents the angle in radians between the positive x-axis and the point (x, y) on the Cartesian plane.
Example explanation
Cell B5 uses the ATAN2 function to calculate the angle in radians from the x-axis to the line connecting the origin to the point (x, y), where x is from cell B2 and y is from cell B3.
Syntax 🔗
=ATAN2(x_num, y_num)
x_num | The x-coordinate of the point in the Cartesian plane. |
y_num | The y-coordinate of the point in the Cartesian plane. |
About ATAN2 🔗
The ATAN2 function in Excel helps you calculate the arctangent of the ratio of two specified numbers, often used to find the angle theta in the polar coordinate system. This is useful in engineering, physics, and mathematical tasks that need accurate angle calculations and vector analysis. The function can handle points with negative or zero coordinates, ensuring accurate angle determination across all quadrants of the Cartesian plane. It outputs in radians, allowing you to perform advanced geometric computations.
Examples 🔗
Suppose you have a point with the coordinates (4, 3) in the Cartesian plane. To calculate the angle theta in radians, you use the ATAN2 formula as follows: =ATAN2(3, 4). This returns the value of approximately 0.64 radians, representing the angle between the positive x-axis and the point (4, 3).
Consider a point with the coordinates (-2, -5) in the Cartesian plane. To find the angle theta in radians, use the ATAN2 formula: =ATAN2(-5, -2). This yields a value of approximately -1.95 radians, indicating the angle between the positive x-axis and the point (-2, -5).
Notes 🔗
The ATAN2 function returns the angle in radians, the standard unit for angular measurement. Ensure your coordinates align with Cartesian plane conventions: positive x-coordinates extend to the right, and positive y-coordinates extend upwards. ATAN2 handles negative or zero values, providing accurate angles for all coordinate combinations.
Questions 🔗
The ATAN2 function returns the angle in radians, adhering to the standard unit for angular measurement across mathematical and scientific domains.
In what scenarios is the ATAN2 function particularly beneficial?The ATAN2 function proves immensely valuable in applications requiring precise angle calculations and vector analysis. It is extensively used in engineering, physics, and mathematical contexts for advanced geometric computations and angular determinations.
How does the ATAN2 function handle points with negative or zero coordinates?ATAN2 seamlessly handles points with negative or zero coordinates, ensuring accurate angle determination across all quadrants of the Cartesian plane. It possesses the capability to handle a diverse range of coordinate combinations, delivering reliable results in various mathematical scenarios.