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

question 56

Multiple Choice

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

• A) \(35 \left( \cos \frac { 5 } { 6 } \pi + i \sin \frac { 5 } { 6 } \pi \right)\)
• B) \(12 \left( \cos \frac { 23 } { 12 } \pi + i \sin \frac { 23 } { 12 } \pi \right)\)
• C) \(12 \left( \cos \frac { 5 } { 6 } \pi + i \sin \frac { 5 } { 6 } \pi \right)\)
• D) \(35 \left( \cos \frac { 23 } { 12 } \pi + i \sin \frac { 23 } { 12 } \pi \right)\)

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Definitions:

Vertical Analysis

A technique for analyzing financial statements where every item under the three key account categories (assets, liabilities, and equity) on a balance sheet is shown as a percentage of the total for each category.

Operating Expenses

Costs related to the operation of a business, excluding the cost of goods sold, financing costs, and taxes.

Net Sales

The total income generated from sales by a firm, after reducing it for returns, discounts, and allowances due to damaged or absent goods.

Inventory Turnover

A proportion indicating the frequency at which a company's stock is sold and replenished during a given timeframe.