- #1
Theofilius
- 86
- 0
[SOLVED] calculating complex number
Calculate [tex]{i}^{\frac{3}{4}}[/tex]
I tried with
[tex]i=cos\frac{pi}{2}+isin\frac{\pi}{2}[/tex]
[tex]i^3=cos\frac{3pi}{2}+isin\frac{3\pi}{2}[/tex]
[tex]i^3=-i[/tex]
[tex]\sqrt[4]{i^3}=\sqrt[4]{-i}[/tex]
I don't know where I should go out of here. Please help!
Homework Statement
Calculate [tex]{i}^{\frac{3}{4}}[/tex]
Homework Equations
The Attempt at a Solution
I tried with
[tex]i=cos\frac{pi}{2}+isin\frac{\pi}{2}[/tex]
[tex]i^3=cos\frac{3pi}{2}+isin\frac{3\pi}{2}[/tex]
[tex]i^3=-i[/tex]
[tex]\sqrt[4]{i^3}=\sqrt[4]{-i}[/tex]
I don't know where I should go out of here. Please help!