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

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

See Also

• COMPLEX
• IMREAL

References

Exponential function