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Products and quotients of complex numbers

Products and quotients of complex numbers (Question)

Given that z1 = 3 + i and z2 = 2-3i. Determine the following in the form of r(cos x + sin x i).

  1. z1z2
  2. z1/z2

Guide:

|z1z2| = r1r2, arg(z1z2) = x1 + x2

|z1/z2| = r1/r2, arg(z1/z2) = x1 – x2

Products and quotients of complex numbers (Answer)

  1. √130(cos 0.789π + sin 0.789π i)
  2. √(10/13)(cos -0.585π + sin -0.585π i)

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