Find the Product $( 6 + 6 i ) ( 2 - 2 i )$

question 26

Multiple Choice

Find the product $( 6 + 6 i ) ( 2 - 2 i )$ using trigonometric forms.Leave the result in trigonometric form.

• A) \(12 \left( \cos \left( 45 ^ { \circ } \right) + i \sin \left( 45 ^ { \circ } \right) \right)\)
• B) \(12 \left( \cos \left( 0 ^ { \circ } \right) + i \sin \left( 0 ^ { \circ } \right) \right)\)
• C) \(24 \left( \cos \left( - 45 ^ { \circ } \right) + i \sin \left( - 45 ^ { \circ } \right) \right)\)
• D) \(24 \left( \cos \left( 45 ^ { \circ } \right) + i \sin \left( 45 ^ { \circ } \right) \right)\)
• E) \(24 \left( \cos \left( 0 ^ { \circ } \right) + i \sin \left( 0 ^ { \circ } \right) \right)\)

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Definitions:

Alimentary Canal

The whole passage along which food passes through the body from mouth to anus, including the esophagus, stomach, and intestines.

Erythrocytes

Red blood cells, which are responsible for transporting oxygen from the lungs to the body tissues and carbon dioxide from the tissues back to the lungs.

Rhinitis

Inflammation of the nasal mucous membrane, leading to symptoms such as a runny nose, sneezing, and nasal itching.

Muscle Layers

Groups of muscles arranged one on top of another within the body, contributing to its structure and movement.