Documentation/How Tos/Calc: IMCOT function

CALC FUNCTIONS

Complex Number Functions

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FUNCTIONS

• Complex
• Imabs
• Imaginary
• Imargument
• Imconjugate
• Imcos
• Imcosh
• Imcsc
• Imcsch
• Imcot
• Imdiv
• Imexp
• Imln
• Imlog10
• Imlog2
• Impower
• Improduct
• Imreal
• Imsec
• Imsech
• Imsin
• Imsinh
• Imsqrt
• Imsub
• Imsum
• Imtan

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IMCOT

Returns the cotangent of a complex number.

Syntax

IMCOT( z )

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

Semantics

IMCOT( z ) is equivalent to IMDIV(IMCOS(z);IMSIN(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 $c={\frac {\sin(2a)}{\cosh(2b)-\cos(2a)}}$

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

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.