The quotient of two complex numbers can be obtained by dividing the moduli and subtrating the arguments.
how can i express (1+i)/(sqrt(3)+i) in the x+iy form? Also, using those two smaller expressions, i must show that cos(pi/12) = (sqrt(3)+1)/(2sqrt(2)) and sin(pi/12) = (sqrt(3)-1)/(2sqrt(2))
another one, i must show that if w is an nth root of unity, then w = 1/w. deduce that (1-w)^n = (w-1)^n. (showing that (1-w)^2n is real)
the underscores go above the numbers, to show the conjugate