N.CN.B.4: Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.

Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.

Example Problems

Divide the following complex numbers.

\frac{5 + 5i}{1 + 2i}

Divide the following complex numbers.

\frac{5 + 14i}{2 + 3i}

Divide the following complex numbers.

\frac{30 + 20i}{1 + 5i}

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