The question is:
Let . Write in the form a+bi.
(careful! This is a trick question.)
What I did:
I think that's right. It's just that when a lecturer has taken time out to write "this is a trick question" next to it, it implies it is much harder than it looks.
So is this the right answer?
Actually, i'm not sure I do :sCorrected, but what it says you knew already!
What does mean? More specifically, what does "cis" stand for?
How did you work out that bit? Can your calculator work out complex numbers?Well it looks OK, but we can just do a numerical check:
>exp(I*z)
0.433013+0.25i
oh right!
That cis notation looks redundant but it is shorter than writing . I might start using it on my whiteboard since I always run out of space on it!
My calculator can't do complex numbers. Well I don't think it can!
Does a TI-84 have a complex number setting? I haven't really used it and I didn't take the manual with me to university.
Also, for a trick question, that wasn't that bad. I guess lecturers write that there to freak students out!