You know, I'm very glad I'm going through this little book. I thought I knew everything about doing these, but I had never considered a problem like this one.
The problem is to put
in rectangular form.
I'm kinda stuck on this one.
Before I mention what I've tried, let me say what the book's answer for this one is:
My plan of attack was to write in rectangular form, giving me
(By the way, this approach doesn't use that there are actually two values for . I'm not sure which one to pick, if it even makes a difference.)
Now that I've got that, then I can rewrite the original problem:
Now, believe it or not I can actually do something with this, but it's too complicated for me to bother with the LaTeX. Suffice it to say I can put the base in trigonometric form and use De Moivre's theorem to finish up the problem. But the answer is inordinately messy and I'm frankly not sure I got all of it right with all the picky details to keep track of.
And it certainly isn't the nice form .
Any thoughts as to how to approach this? Thanks!