Difference between revisions of "Manuals/calci/IMSQRT"

Revision as of 23:11, 18 December 2013

IMSQRT(z)

Failed to parse (syntax error): {\displaystyle \sqrt{z}=\sqrt{x+iy}=\sqrt{r.e^iθ}=\sqrt{r}(cos(θ/2)+isin(θ/2)}

where $r$ is the modulus of $z$ . $r={\sqrt {x^{2}+y^{2}}}$
And $\theta$ θ is the argument of $z$ . Failed to parse (syntax error): {\displaystyle θ=tan^{-1}(y/x)} also θ∈(-Pi(),Pi()].
We can use COMPLEX function to convert real and imaginary number in to a complex number.

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 *IMSQRT(z), Where z  is  the complex number is in the form of "x+iy".
 *where x&y are the real numbers.'i' imaginary unit .<math>i=\sqrt{-1}</math>.
-*The square root of a complex number is defined by  <math>\sqrt{z}=\sqrt{x+iy}=\sqrt{r.e^iθ}=\sqrt{r}(cos(θ/2)+isin(θ/2)</math>
+*The square root of a complex number is defined by:
-*where r is the modulus of z. <math>r=\sqrt{x^2+y^2}</math>
+<math>\sqrt{z}=\sqrt{x+iy}=\sqrt{r.e^iθ}=\sqrt{r}(cos(θ/2)+isin(θ/2)</math>
-*And θ is the argument of z. <math> θ=tan^{-1}(y/x)</math> also θ∈(-Pi(),Pi()].
+*where <math>r</math> is the modulus of <math>z</math>. <math>r=\sqrt{x^2+y^2}</math>
+*And <math>\theta</math>θ is the argument of <math>z</math>. <math> θ=tan^{-1}(y/x)</math> also θ∈(-Pi(),Pi()].
 *We can use COMPLEX function to convert real and imaginary number in to a complex number.
 ==Examples==