So I am doing an assignment where I have to (by hand) multiply two numbers (z1 and z2) in polar form. Afterwards I have to check that I am getting the same result as Maple.
Maple gives me different polar coordinates than my manuel calculation though. Can anyone see where I went wrong?
If I understand your picture correctly, the answer that you got is$$2\left(\cos\left(\frac{7\pi}6\right)+\sin\left(\frac{7\pi}6\right)i\right),\tag1$$whereas Maple got$$2\left(\cos\left(-\frac{5\pi}6\right)+\sin\left(-\frac{5\pi}6\right)i\right).\tag2$$Am I right? If so, what's the problem? After all, $(1)=(2)$.