Manuals/calci/IMSECH

IMSECH (ComplexNumber)

• $ComplexNumber$ is any complex number of the form x+iy.

Description

• This function gives the hyperbolic SECANT value of a complex number.
• Consider the complex number is the form of $x+iy$
• x & y are the real numbers.
• 'i' is the imaginary unit $i={\sqrt {-1}}$
• Also x is called the real part & y is the imaginary part of a complex number.
• COMPLEX is the function used to convert Real & Imaginary numbers in to a complex number.
• $sech(x+iy)$ is defined by $sech(x+iy)=1/cosh(x+iy)$

Examples

IMSECH(ComplexNumber)

• ComplexNumber is any complex number.

IMSECH(ComplexNumber)	Value
IMSECH("7+4i")	-0.0011920929392447753+i0.0013802282801954463
IMSECH("7-8i")	-0.0002653583569087264+i0.0018043572584584692
IMSECH("3")	0.09932792741943323+i0

Related Videos

Trigonometric Form of Complex Numbers

See Also

• IMSIN

• IMCOS

• IMSEC

References

• List of Trigonometric Functions
• Functions of complex variables
• Hyperbolic Function

• List of Main Z Functions

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