Find the Product or Quotient, as Indicated $\mathrm { z } _ { 1 }$

question 138

Multiple Choice

Find the product or quotient, as indicated. Leave your answer in polar form.
-Find the product of $\mathrm { z } _ { 1 }$ and $\mathrm { z } _ { 2 }$ .
$$z _ { 1 } = 8 \left( \cos \frac { 4 \pi } { 7 } + i \sin \frac { 4 \pi } { 7 } \right) , z _ { 2 } = \frac { 1 } { 5 } \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)$$

• A) \(40 \left( \cos \frac { 19 } { 21 } \pi + i \sin \frac { 19 } { 21 } \pi \right)\)
• B) \(\frac { 41 } { 5 } \left( \cos \frac { 4 } { 21 } \pi + i \sin \frac { 4 } { 21 } \pi \right)\)
• C) \(\frac { 8 } { 5 } \left( \cos \frac { 4 } { 21 } \pi + i \sin \frac { 4 } { 21 } \pi \right)\)
• D) \(\frac { 8 } { 5 } \left( \cos \frac { 19 } { 21 } \pi + i \sin \frac { 19 } { 21 } \pi \right)\)

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Definitions:

Percentage

A proportion or share in relation to a whole, represented as a fraction of 100.

Strengthens

Becomes stronger or more forcefully effective.

C$

Currency symbol for the Canadian dollar, the official currency of Canada.

Euro

The official currency of the eurozone, which is used by 19 of the 27 European Union countries.