Multiply. Leave Answers in trigonametric form.21= 1+i, 22=-3-Bi

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section: Chapter Questions

Problem 4RE

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Question

Multiply. Leave Answers in trigonametric form.
21= 1+i, 22=-3-Bi

Expert Solution

Step 1

Given complex numbers are $z_{1} = 1 + i, z_{2} = - 3 - 3 i$ .

Multiply the above numbers as follows.

$\begin{array}{rcl} z_{1} \cdot z_{2} & = & (1 + i) (- 3 - 3 i) \\ = & 1 (- 3) + 1 (- 3 i) + i (- 3) + i (- 3 i) \\ = & - 3 - 3 i - 3 i - 3 i^{2} \\ = & - 3 - 6 i + 3 \\ = & - 6 i \end{array}$

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