Hello first time poster here! Just found out about this forum. I have a fairly simple question for most of you all I think, so here goes.
This question has several parts, I'm currently stuck on the first.
Find the fifth roots of the complex number.
Where theta=5.06 is in radians. There are five roots in the interval [0,2TT) and they all have the same r>0
1. Find r>0
2. Find the first angle
3. Find the second angle
4. Find the third angle
5. Find the forth angle
6. Find the fifth angle
So I'm stuck on number one and I thought I knew how to do these. What I got is:
98.6(cos(5.06)+sin(5.06)i) = 33.58835505 - 92.70265587i
r = sqrt((33.588)^2+(-92.703)^2)
According to the online homework site I'm using, this answer is wrong. Can someone please help me?
Any problems to do with exponents are easiest to solve in exponential form .
In your case, .
So the first fifth root is .
The rest are evenly spaced around a circle, so all have the same magnitude and are separated by an angle of . Can you find the rest?
I am sorry for anyone doing an online mathematics program.
They are notoriously bad about not excepting anything slightly different from what is expected.
The truth is . I don’t know what form is expected.
The argument .
The additive factor is , thus the next angle should be .