Manuals/calci/IMSIN

IMSIN (ComplexNumber)

• $ComplexNumber$ is any complex number of the form x+iy.
  • IMSIN(),returns the sine of a complex number.

Description

• This function gives the sin value of any 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.
• $sin(x+iy)$ is defined by $sin(x+iy)=sin(x)cosh(y)-icos(x)sinh(y)$

Examples

IMSIN (ComplexNumber)

• ComplexNumber is any complex number.

IMSIN(ComplexNumber)	Value
IMSIN("4+5i")	-56.16227422023234-ⅈ48.5024552417709
IMSIN("4-5i")	-56.16227422023234+ⅈ48.5024552417709
IMSIN("4")	-0.7568024953079282+ⅈ0

Related Videos

Trigonometric Form of Complex Numbers

See Also

• SIN

• COMPLEX

References

• List of Trigonometric Functions
• Hyperbolic Function

• List of Main Z Functions

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