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.

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See Also

• IMTAN

• Complex Number functions

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• Functions listed by category