Solve the Problem $$z = 10 \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right)$$

question 187

Multiple Choice

Solve the problem. Leave your answer in polar form.
- $$z = 10 \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right)$$
$$w = 5 \left( \cos 10 ^ { \circ } + i \sin 10 ^ { \circ } \right)$$
Find $z w$ .

• A) \(50 \left( \cos 40 ^ { \circ } + i \sin 40 ^ { \circ } \right)\)
• B) \(15 \left( \cos 40 ^ { \circ } + \mathrm { i } \sin 40 ^ { \circ } \right)\)
• C) \(15 \left( \cos 300 ^ { \circ } + i \sin 300 ^ { \circ } \right)\)
• D) \(50 \left( \cos 300 ^ { \circ } + \mathrm { i } \sin 300 ^ { \circ } \right)\)

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Definitions:

Domestic Currency

The currency that is legally in use within a country's borders, serving as the medium for exchange, a store of value, and a standard of account.

Exchange Rate

The value of one currency when being converted to another currency.

Base Currency

The currency against which exchange rates are generally quoted in a given country, typically the currency of the home market.

Counter Currency

The second currency listed in a foreign exchange rate transaction, which can be bought or sold relative to the base currency.