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:

Scholastic Aptitude Test

A standardized test commonly used for college admissions in the United States, assessing mathematical and verbal abilities.

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A type of observational study that analyzes data from a population, or a representative subset, at a specific point in time.

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The developmental phase before birth, encompassing the time from conception to the onset of labor.

Conception

The process of forming an idea or the initial stage when an idea, theory, or plan is formed in the mind.