# MathF.Atan2(Single, Single) Method

## Definition

Returns the angle whose tangent is the quotient of two specified numbers.

```
public:
static float Atan2(float y, float x);
```

`public static float Atan2 (float y, float x);`

`static member Atan2 : single * single -> single`

`Public Shared Function Atan2 (y As Single, x As Single) As Single`

#### Parameters

- y
- Single

The y coordinate of a point.

- x
- Single

The x coordinate of a point.

#### Returns

An angle, θ, measured in radians, such that -π ≤ θ ≤ π, and tan(θ) = `y`

/ `x`

, where (`x`

, `y`

) is a point in the Cartesian plane. Observe the following:

For (

`x`

,`y`

) in quadrant 1, 0 < θ < π/2.For (

`x`

,`y`

) in quadrant 2, π/2 < θ ≤ π.For (

`x`

,`y`

) in quadrant 3, -π < θ < -π/2.For (

`x`

,`y`

) in quadrant 4, -π/2 < θ < 0.

For points on the boundaries of the quadrants, the return value is the following:

If y is 0 and x is not negative, θ = 0.

If y is 0 and x is negative, θ = π.

If y is positive and x is 0, θ = π/2.

If y is negative and x is 0, θ = -π/2.

If y is 0 and x is 0, θ = 0.

If `x`

or `y`

is NaN, or if `x`

and `y`

are either PositiveInfinity or NegativeInfinity, the method returns NaN.

## Remarks

The return value is the angle in the Cartesian plane formed by the x-axis, and a vector starting from the origin, (0,0), and terminating at the point, (x,y).