Manuals/calci/IMCOTH

IMCOTH(ComplexNumber)

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

Description

• This function gives the hyperbolic cotangent (coth) 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.
• $coth(x+iy)$ is defined by $coth(x+iy)=cosh(x+iy)/sinh(x+iy)$

Examples

IMCOTH(ComplexNumber)

• ComplexNumber is any complex number.

IMCOTH(ComplexNumber)	Value
IMCOTH("7+4i")	0.9999997580237623-0.0000016453591929617989ⅈ
IMCOTH("7-8i")	0.9999984073584318-4.78798989708284e-7ⅈ
IMCOTH("3")	1.0049698233136892+0ⅈ

Related Videos

Trigonometric Form of Complex Numbers

See Also

• COMPLEX

• IMSIN

• IMSINH

• IMCOS

• IMCOSH

References

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

• List of Main Z Functions

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