Find the Quotient and Write in Rectangular Form $$\frac { 8 ( \cos 90 + i \sin 90 ) } { 3 ( \cos 30 + i \sin 30 ) }$$

question 57

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- $$\frac { 8 ( \cos 90 + i \sin 90 ) } { 3 ( \cos 30 + i \sin 30 ) }$$

• A) \(\frac { 5 } { 2 } + \frac { 5 \sqrt { 3 } } { 2 } \mathrm { i }\)
• B) \(\frac { 4 } { 3 } + \frac { 4 \sqrt { 3 } } { 3 } \mathrm { i }\)
• C) \(1 + \sqrt { 3 } \mathrm { i }\)
• D) \(8 + 8 \sqrt { 3 } \mathrm { i }\)

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Definitions:

Overapplied

A situation where the allocated overhead costs in accounting exceed the actual overhead costs incurred.

Underapplied

In cost accounting, it describes a situation where the allocated overhead costs are less than the actual overhead costs incurred.

Manufacturing Overhead

All the extra expenses tied to production except for direct materials and workforce costs.

Work in Process

The goods in production that are not yet completed, representing a stage between raw materials and finished goods.