Recent content by nicemaths

oh deary me, i feel silly now that i see the huge error

The problem statement Express exp(3+π*i) in Cartesian Form. The attempt at a solution Equating e^(3+πi) = e^(x)e^(iy) = e^(x)(cos(y) + isin(y)) then e^(x)cos(y) = 3 e^(x)sin(y)=π now |e^(3+πi)| = e^(x) so x = sqrt(9+π^2) then cos(y) = 3/sqrt(9+π^2) sin(y) = π/sqrt(9+π^2) at this point i don't...