Find z 1 ÷ z 2 for z 1 = 9(cos225° + isin225°) and z 2 = 3(cos45° + isin45°).
express the quotient in a + bi form.

-1

Step-by-step explanation:

Use DeMoivre's Theorem for division of complex polar numbers.  Set it up like this:

The rule is

Our z1 is 9 and our z2 is 3, so the division of those gives you 3.  The subtraction of the angles 225 - 45 = 180, therefore:

3 cis 180° = 3(cos 180 + sin 180 i)

The cos of 180 is -1 and the sin of 180 is 0, so 3(-1 + 0) = -3

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step-by-step explanation: then we will answer