IMSEC 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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IMSEC

Returns the secant of a complex number.

Syntax

IMSEC( z )

where z is a complex number as described in Complex Number functions

Semantics

IMSEC( z ) is equivalent to IMDIV(1;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 $c={\frac {2\cos(a)\,\cosh(b)}{\cosh(2b)+\cos(2a)}}$

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

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

• IMCSC

• Complex Number functions

• Functions listed alphabetically
• Functions listed by category