- #1
kawsar
- 13
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1. Find the cube roots of the complex number 8+8i and plot them on an Argand
diagram
Thats the problem, I've had a go at the solution and came up with 3 solutions using the [tex]\sqrt[n]{r}[/tex]*(cos([tex]\frac{\theta+2\pi*k}{n}[/tex])+isin([tex]\frac{\theta+2\pi*k}{n}[/tex])), but the answers (roots) I get, I can't plot it on an Argand Diagram as I cannot simplify them to an a+bi format.
I'm using n=3, r=8[tex]\sqrt{2}[/tex] and [tex]\theta[/tex]=45 degrees.
Am I doing something wrong somewhere?
Thanks
First Post :D
diagram
Thats the problem, I've had a go at the solution and came up with 3 solutions using the [tex]\sqrt[n]{r}[/tex]*(cos([tex]\frac{\theta+2\pi*k}{n}[/tex])+isin([tex]\frac{\theta+2\pi*k}{n}[/tex])), but the answers (roots) I get, I can't plot it on an Argand Diagram as I cannot simplify them to an a+bi format.
I'm using n=3, r=8[tex]\sqrt{2}[/tex] and [tex]\theta[/tex]=45 degrees.
Am I doing something wrong somewhere?
Thanks
First Post :D