# What is atan2 processing?

## What is atan2 processing?

Calculates the angle from a specified point to the coordinate origin as measured from the positive x-axis. When angleMode is “degrees” (the default), the values returned range from 180 to -180.

## Is atan2 the same as tan 1?

Description. P = atan2( Y , X ) returns the four-quadrant inverse tangent (tan-1) of Y and X , which must be real. The atan2 function follows the convention that atan2(x,x) returns 0 when x is mathematically zero (either 0 or -0 ).

Is atan2 better than Atan?

In conclusion, if you are calculating something that ranges between -90 and 90 degrees like latitude, use arctan. If calculating an angle that can be between -180 and 180 degrees, use arctan2.

### What is the difference between atan2 and Atan?

atan is the general form of inverse tangent that gets a value and returns the associated angle in radian. But atan2 gets two values of y and x and assumes a complex number as x + iy and returns its phase.

### What is the range of atan2?

Return Value The atan() function returns a value in the range -π/2 to π/2 radians. The atan2() function returns a value in the range -π to π radians.

Is arctan always positive?

The arctangent of a positive number is a first quadrant angle, tan-1(+) is in quadrant I. The arctangent of zero is zero, tan-1(0) is 0….When you simplify an expression, be sure to use the Arcsine.

3. arcsin(sin(x)) x, one function undoes the other

#### What is the range of arctan?

Domain and range: The domain of the arctangent function is all real numbers and the range is from −π/2 to π/2 radians exclusive (or from −90° to 90°). The arctangent function can be extended to the complex numbers, in which case the domain is all complex numbers.

#### How is the atan2 function expressed in terms of arctan?

In terms of the standard arctan function, whose range is (−π/2, π/2), it can be expressed as follows: atan2 ⁡ ( y , x ) = { arctan ⁡ ( y x ) if x > 0 , arctan ⁡ ( y x ) + π if x < 0 and y ≥ 0 , arctan ⁡ ( y x ) − π if x < 0 and y < 0 , + π 2 if x = 0 and y > 0 , − π 2 if x = 0 and y < 0 , undefined if x = 0 and y = 0.

How to change the argument of atan2 to PR ARG?

That is, atan2 (y, x) = Pr arg (x + yi) = Arg (x + yi). The argument could be changed by an arbitrary multiple of 2π (corresponding to a complete turn around the origin) without making any difference to the angle, but to define atan2 uniquely one uses the principal value in the range

## How to calculate the principal value of atan2?

The function atan2 computes the principal value of the argument function applied to the complex number x+iy. That is, atan2(y, x) = Pr arg(x+iy) = Arg(x+iy).

## When did the function ATAN2 ( y, x ) first appear?

The function atan2 ⁡ ( y , x ) {displaystyle operatorname {atan2} (y,x)} first appeared in the programming language Fortran (in IBM’s implementation FORTRAN-IV in 1961). It was originally intended to return a correct and unambiguous value for the angle θ in converting from cartesian coordinates (x,y) to polar coordinates (r,θ).