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

question 42

Multiple Choice

Find the product or quotient, as indicated. Leave your answer in polar form.
-Find the product of $\mathrm { z } _ { 1 }$ and $\mathrm { z } _ { 2 }$ .
$\mathrm { z } _ { 1 } = 8 \left( \cos 35 ^ { \circ } + \mathrm { i } \sin 35 ^ { \circ } \right) , \mathrm { z } _ { 2 } = 4 \left( \cos 125 ^ { \circ } + \mathrm { i } \sin 125 ^ { \circ } \right)$

• A) \(32 \left( \cos 4375 ^ { \circ } + i \sin 4375 ^ { \circ } \right)\)
• B) \(12 \left( \cos 160 ^ { \circ } + i \sin 160 ^ { \circ } \right)\)
• C) \(32 \left( \cos 160 ^ { \circ } + i \sin 160 ^ { \circ } \right)\)
• D) \(32 \left( \cos 35 ^ { \circ } + i \sin 35 ^ { \circ } \right)\)

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Definitions:

Tariff

A tax or duty to be paid on a particular class of imports or exports, used by governments to control trade and protect domestic industries.

Import Quota

A specific limit or maximum quantity (or value) of a good permitted to be imported into a country during a given period.

U.S. Imports

Goods and services brought into the United States from other countries for sale.

Net Exports

The value of a country's total exports minus the value of its total imports.