I need to show that (3 + i)^3 = 18 + 26i and use this to show that the angle AOC = 3AOB, where O, A, B, C are points in the plane given by O = (0, 0), A = (1, 0), B = (3, 1) and C = (18, 26). This is what […]

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## Complex number proof involving angles

- Post author By Q+A Expert
- Post date March 26, 2020
- No Comments on Complex number proof involving angles

- Tags ->OB = 3 + i = sqrt(10) * cis(AOB) ->OC = 18 + 26i = 10 * sqrt(10) * cis(AOC) Cube ->OB and show to show AOC = 3AOB ->OB^3 = (3 + i)^3 = (, "B": 3, 0, 1) and C = (18, 26). This is what I have done: Expand (3 + i)^3 (3 + i)^3 = (3 + i)(3 + i)(3 + i) = 9 + 3i + 3i + i^2 * (3 + i) = 9 + 6i - 1, a, a = [1, B, C are points in the plane given by O = (0, I need to show that (3 + i)^3 = 18 + 26i and use this to show that the angle AOC = 3AOB, this shows that the angle AOC = 3AOB. Would this be the correct way to solve this question?, where O