# atan¶

## Purpose¶

Returns the arctangent of its argument.

## Format¶

y = atan(x)
Parameters

x (NxK matrix or N-dimensional array) –

Returns

y (NxK matrix or N-dimensional array) – containing the arctangents of x in radians.

## Examples¶

/*
** Create a sequence with 5 elements starting at -pi and
** increasing by pi/2
*/
x = seqa(-pi, pi/2, 5);
y = atan(x);

print "x = " x;
print "y = " y;

After the code above:

-3.142      -1.263
-1.571      -1.004
x = 0.000  y =  0.000
1.571       1.004
3.142       1.263

## Remarks¶

y will be the same size as x, containing the arctangents of the corresponding elements of x.

For real x, the arctangent of x is the angle whose tangent is x. The result is a value in radians in the range $$-π/2$$ to $$+π/2$$. To convert radians to degrees, multiply by $$180/π$$.

For complex x, the arctangent is defined everywhere except i and -i. If x is complex, y will be complex.