- #1
srfriggen
- 307
- 6
Homework Statement
Expand (1-2i)^10 without the Binomial Expansion Theorem
I know I need to put this in polar form and then it's simple from there, however, I am simply having a difficult time finding the angle. Drawing the complex number as a vector in the complex plane I get a right triangle with sides equal to 1 and 2, so the magnitude of the vector is √5. I can take the inverse tangent of 2/1 but I don't get an angle that is "easy" to work with, i.e. something familiar like -pi/3, -pi/6, etc. My professor did make it clear those would be the only angles we should be familiar with for these types of problems.
what am I missing?