Find the Quotient and Write in Rectangular Form $$\frac { 6 + 5 i } { 8 - 7 i }$$

question 45

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- $$\frac { 6 + 5 i } { 8 - 7 i }$$

• A) \(\frac { 83 } { 113 } + \frac { 2 } { 113 } \mathrm { i }\)
• B) \(\frac { 13 } { 113 } + \frac { 82 } { 113 } \mathrm { i }\)
• C) \(\frac { 13 } { 15 }\)
• D) \(\frac { 83 } { 15 } - \frac { 82 } { 15 } \mathrm { i }\)

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Definitions:

Denominator

The bottom part of a fraction that shows into how many parts the whole is divided.

Comprehensive Income

The total change in equity for a reporting period other than from transactions with owners, including all revenues, gains, expenses, and losses.

Bonus Issue

An issue of shares to existing shareholders in proportion to their current shareholdings at no cost to the shareholders.

Ordinary Shares

Equity shares that represent a portion of a company's capital, entitling holders to vote and share in the profits.