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C++ cmath atan2() function

❮ Math Functions


Example

Return the angle in radians of the polar coordinates given rectangular coordinates:

cout << atan2(0.5, 0.5);
cout << atan2(-0.5, -0.5);
cout << atan2(5, 5);
cout << atan2(10, 20);
cout << atan2(5, -5);
cout << atan2(-10, 10);
Try it Yourself »

Definition and Usage

The atan2() function returns the angle theta in radians from the conversion of rectangular coordinates (x, y) to polar coordinates (r, theta).

This is the same as calling atan(y/x) except that it takes into account negative values of x so that it can return angles outside of the range -PI/2 to PI/2.

The atan2() function is defined in the <cmath> header file.

Note: In the atan2() method the y coordinate goes first, then the x coordinate. This is because it is equivalent to the arctangent of the division y / x.


Syntax

One of the following:

atan2(double y, double x);
atan2(float y, float x);

Parameter Values

Parameter Description
y Required. The y coordinate of the point to find the angle of.
If this is an integer type then it will be treated as a double.
x Required. The x coordinate of the point to find the angle of.
If this is an integer type then it will be treated as a double.

Technical Details

Returns: A float value (if all the arguments are float) or double value (in any other case) representing the angle in radians that a point (x, y) makes around the origin (0, 0).

❮ Math Functions

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