I'm currently struggling with complex numbers alot, and dont really know where to start. Any help would be much appreciated.
Write the complex number i^15 in the usual a + bi form;
Write the complex number 2-i/5+i in the usual a + bi form
I'm currently struggling with complex numbers alot, and dont really know where to start. Any help would be much appreciated.
Write the complex number i^15 in the usual a + bi form;
Write the complex number 2-i/5+i in the usual a + bi form
Well, $\displaystyle i^{15} = -i$ so:
$\displaystyle i^{15} = 0 + -1(i) = 0 - i$ (If it MUST be in a + bi, then use 0 + -i, if not, then use 0 - i or just -i).
$\displaystyle 2 - \frac{i}{5} + i$
$\displaystyle 2 - \frac{i}{5} + \frac{5i}{5} = 2 - \frac{4i}{5}$
In a + bi form:
$\displaystyle 2 + -\frac{4}{5}i$