Documentation/How Tos/Calc: IMTAN function

IMTAN

Returns the tangent of a complex number.

Syntax

IMTAN( Z )

where z is a complex number as described in Documentation/How_Tos/Calc:_Complex_Number_functions

Semantics

IMTAN( Z ) is equivalent to IMDIV(IMSIN( z );IMCOS( z )).

To get better accuracy it is not implemented that way. With the notation IMCOT("a+bj")="c+dj" the used formulas are

real part $c={\frac {\sin(2a)}{\cos(2a)+\cosh(2b)}}$

imaginary part $d={\frac {\sinh(2b)}{\cos(2a)+\cosh(2b)}}$

Issues

The function is not implemented in versions before AOO 4.0 and before LibO 3.7.

This function currently appears in the AddIn category of the Function Wizard.