Multiply the Complex Numbers $$9 \left( \cos \frac { 7 \pi } { 6 } + i \sin \frac { 7 \pi } { 6 } \right) 4 \left( \cos \frac { 3 \pi } { 7 } + i \sin \frac { 3 \pi } { 7 } \right)$$

question 23

Multiple Choice

Multiply the complex numbers.Write the answer in trigonometric form.​ $$9 \left( \cos \frac { 7 \pi } { 6 } + i \sin \frac { 7 \pi } { 6 } \right) 4 \left( \cos \frac { 3 \pi } { 7 } + i \sin \frac { 3 \pi } { 7 } \right)$$ ​

• A) \(36 \left( \cos \frac { 67 \pi } { 42 } + i \sin \frac { 67 \pi } { 42 } \right)\)
• B) \(36 \left( \cos \frac { 10 \pi } { 13 } + i \sin \frac { 10 \pi } { 13 } \right)\)
• C)​ \(36 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)\)
• D)​ \(13 \left( \cos \frac { 67 \pi } { 42 } + i \sin \frac { 67 \pi } { 42 } \right)\)
• E)​ \(13 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)\)

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Definitions:

Hippocampal Lesions

Damage to the hippocampus, an integral part of the limbic system important for memory and spatial navigation, leading to various cognitive impairments.

Object Position Tasks

Cognitive tests that measure an individual's ability to recognize or remember the location of objects in space.

Visual Recognition Tasks

Cognitive tasks that involve identifying or categorizing visual objects, which can be used to study perception, memory, and the brain regions involved in visual processing.

Ventral Visual Stream

The pathway in the brain's visual system that processes information about object identification and recognition.