Perform the Indicated Operation Using Trigonometric Form $( - 4 - 4 i ) ( - 3 - 3 i )$

question 75

Multiple Choice

Perform the indicated operation using trigonometric form. Leave answer in trigonometric form.
$( - 4 - 4 i ) ( - 3 - 3 i )$

• A) \(- 12 \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right)\)
• B) \(- 24 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)\)
• C) \(12 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)\)
• D) \(24 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)\)
• E) \(12 \left( \cos \frac { 3 \pi } { 4 } + i \sin \frac { 3 \pi } { 4 } \right)\)

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Definitions:

Nucleus Pulposus

The inner core of the vertebral disc, composed of a jelly-like material that provides the disc with its ability to absorb shock and maintain spinal flexibility.

Spinous Process

The spinous process is a bony projection off the posterior (back) of each vertebra, which muscles and ligaments attach to.

Inferior Projection

A downward anatomical direction or extension from a main structure.

Vertebrae

are the series of small bones forming the backbone, providing support and protecting the spinal cord.