Find the Product $( - 5 + 5 i ) ( 7 - 7 i )$

question 31

Multiple Choice

Find the product $( - 5 + 5 i ) ( 7 - 7 i )$ using trigonometric forms.Leave the result in trigonometric form.

• A) \(35 \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right)\)
• B) \(70 \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right)\)
• C) \(35 \left( \cos 90 ^ { \circ } + i \sin 90 ^ { \circ } \right)\)
• D) \(70 \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right)\)
• E) \(70 \left( \cos 90 ^ { \circ } + i \sin 90 ^ { \circ } \right)\)

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Definitions:

Hemiazygos

A vein on the left side of the vertebral column that drains blood from the posterior walls of the thorax and abdomen into the azygos vein.

Posterior Thoracic

Pertaining to the back part of the chest area, which houses important components such as the lungs and heart.

Circulatory System

The body's system of blood vessels and organs that transports blood to and from the heart and transports nutrients, oxygen, carbon dioxide, and hormones throughout the body.

Excretes Waste

The process by which living organisms remove or expel waste materials from their bodies.