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arctan

Function arctan - the inverse trigonometric function

Calling Sequence  arctan(y)
arctan(y,x)
Parameters
NameTypeDescription

y numerica numerical value
x numerican optional numerical value
Return Type  numeric
Synopsis This function, with a single argument, computes the inverse tangent function defined by: tan(arctan(y)) = y. The value returned by arctan is between -Pi/2 <= arctan(y) <= Pi/2. With two arguments, it computes the inverse tangent function defined by: tan(arctan(y,x)) = y/x when x <> 0. The value returned by arctan with two arguments is between -Pi < arctan(y,x) <= Pi. Arctan with two arguments computes the principal value of the argument of the complex number x+I*y
References Handbook of Mathematical Functions, M. Abramowitz and I. Stegun, Ch 4.4
Examples
> arctan(0);
0
> arctan(1);
0.7854
> arctan(1,0);
1.5708
> arctan(-1,0);
-1.5708
> arctan(1,1);
0.7854
> arctan(-1,-1);
-2.3562
See also arcsin,   cos,   sin,   tan