Manuals/calci/IMCOT

IMCOT(ComplexNumber)

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

Description

• This function gives the COTAN value of a complex number.
• Consider the complex number in 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.
• $cot(x+iy)$ is defined by $cot(x+iy)=(sin(2x)+isinh(2y))/(cosh(2y)-cos(2x))$

Examples

IMCOT(ComplexNumber)

• ComplexNumber is any complex number.

IMCOT(ComplexNumber)	Value
IMCOT("6+4i")	-0.0003602042160073492-i1.0005662583935644
IMCOT("6-8i")	-1.207666770520797e-7+i1.000000189926516
IMCOT("10")	1.54235104535692+i0

Related Videos

Trigonometric Form of Complex Numbers

See Also

• COTAN

• COMPLEX

• IMSIN

• IMCOS

References

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

• List of Main Z Functions

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