Multiply the Complex Numbers Below and Leave the Result in Trigonometric

question 263

Multiple Choice

Multiply the complex numbers below and leave the result in trigonometric form. $\left[ 8 \left( \cos \frac { 2 \pi } { 7 } + i \sin \frac { 2 \pi } { 7 } \right) \right] \left[ 10 \left( \cos \frac { 5 \pi } { 9 } + i \sin \frac { 5 \pi } { 9 } \right) \right]$

• A) \(18 \left( \cos \frac { 53 } { 63 } \pi + i \sin \frac { 53 } { 63 } \pi \right)\)
• B) \(80 \left( \cos \frac { 23 } { 63 } \pi + i \sin \frac { 23 } { 63 } \pi \right)\)
• C) \(80 \left( \cos \frac { 53 } { 63 } \pi + i \sin \frac { 53 } { 63 } \pi \right)\)
• D) \(18 \left( \cos \frac { 1 } { 9 } \pi + i \sin \frac { 1 } { 9 } \pi \right)\)
• E) \(80 \left( \cos \frac { 1 } { 9 } \pi + i \sin \frac { 1 } { 9 } \pi \right)\)

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Definitions:

Electrical Charges

Properties of particles that give rise to electric forces; positive and negative charges attract each other, while like charges repel.

Epiphyseal Plate

A layer of cartilage in long bones that allows for longitudinal growth during childhood and adolescence, known as the growth plate.

Diaphysis

The central piece or axis of a lengthy bone.

Medullary Cavity

The central cavity of bone shafts where red or yellow marrow is stored, vital for the production of blood cells and fat storage.