Here is my second question on the complex numbers assignment. How do I prove the following below?
#theta#+isin #theta#, prove that;
#z+z^2#=(1+ #cos theta)(cos theta+isin theta)#
You asked this:
For 1), you are proving that:
#1 + z + z^2 = z(1 + cos theta) qquad equiv qquad 1/z + 1 + z = 1 + cos theta#
That's not what you're looking for but it is the same as other answer posted here for this question, if you actually finish off the algebra.
For 2) , I think the answer is out by a factor of 2:
Half angle formulae:
Again not the answer you're looking for but I don't see the mistake in the algebra.