Manuals/calci/IMAGINARY

IMAGINARY(ComplexNumber)

• $ComplexNumber$ is of the form $x+iy$.
  • IMAGINARY(), returns the imaginary coefficient of a complex number

Description

• This function gives the imaginary coefficient of a complex number.
• Complex number is a combination of real and an imaginary number.
• Imaginary number is a real number which is multiplied with the imaginary unit $i$, where $i={\sqrt {-1}}$.
• When imaginary number $bi$ is get adding to the real number $a$, then it forms a complex number.
• Also when we are squaring the imaginary number $bi$, it will give the negative real number ${-b}^{2}$.
• For eg $(5i)^{2}=-25$.
• We can use COMPLEX function to convert the real and imaginary coefficients to a complex number.
• A complex number is a imaginary number when the real part is zero.

ZOS

• The syntax is to calculate IMAGINARY in ZOS Section is $IMAGINARY(ComplexNumber)$.
  • $ComplexNumber$ is of the form $x+iy$.
• For e.g.,IMAGINARY("6-0.5i")

Imaginary

Examples

1. =IMAGINARY("2+3i")=3
2. =IMAGINARY("4-5i")=-5
3. =IMAGINARY("3j")=3
4. =IMAGINARY("7")=0

Related Videos

Complex Numbers

See Also

• COMPLEX
• IMREAL

References

Imaginary Number

• List of Main Z Functions

• Z3 home