Find the Quotient and Write in Rectangular Form A) $- \frac { 5 } { 2 } - \frac { 5 } { 2 }$

question 101

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- $$\frac { 25 \left( \cos 240 ^ { \circ } + \mathrm { i } \sin 240 ^ { \circ } \right) } { 5 \left( \cos 30 ^ { \circ } + \mathrm { i } \sin 30 ^ { \circ } \right) }$$

• A) \(- \frac { 5 } { 2 } - \frac { 5 } { 2 }\) i
• B) \(- \frac { 5 } { 2 } \sqrt { 3 } - \frac { 5 } { 2 } i\)
• C) \(- \frac { 5 } { 2 } \sqrt { 3 } - \frac { 5 } { 2 } \mathrm { i } \sqrt { 3 }\)
• D) \(- \frac { 5 } { 2 } + - \frac { 5 } { 2 } i \sqrt { 3 }\)

---

Definitions:

William Penn

An English Quaker leader and advocate for religious freedom who founded the Province of Pennsylvania, a North American colony, in the late 17th century.

Worship Freely

The right or ability to practice one's religion without interference or restriction by the government or others.

Race And Racism

Refers to the societal constructs based on physical characteristics and the systemic discrimination associated with these constructs.

Seventeenth Century

The seventeenth century is the period from 1601 to 1700 in the Gregorian calendar, marked by significant developments in various fields such as science, philosophy, and exploration.