Changes

<div style="font-size:30px">'''IMCONJUGATE(z)'''</div><br/>

<div style="font-size:30px">'''IMCONJUGATE(ComplexNumber)'''</div><br/>

*where <math>z</math> is the complex number.

*<math>ComplexNumber</math> is of the form a+bi.

 

==Description==

==Description==

*This function gives the conjugate of a complex number.  

*This function gives the conjugate of a complex number.  

*The complex number <math>z = a+bi</math>, then: <math>IMCONJUGATE(a+bi) = \bar{z} = a-bi</math> and it is denoted by <math>\bar{z}</math> or <math>z^*</math>.  

*Let the complex number be <math>z = a+bi</math>, then: <math>IMCONJUGATE(a+bi) = \bar{z} = a-bi</math> and it is denoted by <math>\bar{z}</math> or <math>z^*</math>.  

*So complex number and complex conjugate both also having same real number and imaginary number with  

*So complex number and complex conjugate both also having same real number and imaginary number with  

the equal magnitude and opposite sign of a imaginary number.Also

the equal magnitude and opposite sign of a imaginary number.

#<math>z=\bar{z}</math> if imaginary number is '0' and <math>\bar{\bar{z}} = z</math>

#<math>z=\bar{z}</math> if imaginary number is '0' and <math>\bar{\bar{z}} = z</math>

#<math>Real part (a)=\frac{z+\bar z}{2}</math>

#<math>Real part (a)=\frac{z+\bar z}{2}</math>

#<math>Imaginary part (b)=\frac{z-\bar z}{2i}</math>.

#<math>Imaginary part (b)=\frac{z-\bar z}{2i}</math>.

We can use COMPLEX function to convert the real and imaginary coefficients to a complex number.

*We can use [[Manuals/calci/COMPLEX | COMPLEX ]] function to convert the real and imaginary coefficients to a complex number.

 

==Examples==

==Examples==

==See Also==

==See Also==

*[[Manuals/calci/COMPLEX  | COMPLEX ]]

*[[Manuals/calci/COMPLEX  | COMPLEX ]]

*[[Manuals/calci/IMREAL  | IMREAL ]]

*[[Manuals/calci/IMREAL  | IMREAL ]]