Manuals/calci/IMAGINARY

IMAGINARY(z)

• $z$ is the complex number is in the form $a+bi$.

Description

• This function gives the imaginary coefficient of a complex 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.

Examples

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

Equation	Real Part	Imaginary Part	Result(Imaginary)
=IMAGINARY("2+3i")	2	3i	3
=IMAGINARY("4-5i")	4	-5i	-5
=IMAGINARY("3j")	0	3j	3
=IMAGINARY("7")	7	0	0

See Also

• COMPLEX
• IMREAL

References

Imaginary Number