ATan2 - arctangent (y,x)

Calculator and formula to calculate the angle to the tangent

Calculate ATan2 function


The Atan2 function calculates the angle to the tangent. Unlike the normal arctangent, it takes two real numbers as arguments. It can thus output the result in a value range of 360°, i.e. all four quadrants.

If the function atan2(y,x) is given the two Cartesian coordinates (y,x) as arguments, one obtains the polar angle φ , which is in the right quadrant.

For the calculation, enter the values of the y and x coordinates. Then click on the 'Calculate' button


ATan2 function calculator

 Input
y x
Coordinates
Decimal places
 Result
Angle
Angle unit

Angle φ = 45°

Formula and example

\(\displaystyle φ = atan2\,(y,x) \,=\,atan\left(\frac{y}{x}\right) \)

\(\displaystyle φ = atan2\,(3,4) \,=\,atan\left(\frac{3}{4}\right) ≈ 36.87 \)
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