Multiply the Complex Numbers Below and Leave the Result in Trigonometric

question 61

Multiple Choice

Multiply the complex numbers below and leave the result in trigonometric form.​ $$\left[ 8 \left( \cos \frac { 2 \pi } { 7 } + i \sin \frac { 2 \pi } { 7 } \right) \right] \left[ 10 \left( \cos \frac { 5 \pi } { 9 } + i \sin \frac { 5 \pi } { 9 } \right) \right]$$

• A) \(18 \left( \cos \frac { 53 } { 63 } \pi + i \sin \frac { 53 } { 63 } \pi \right)\)
• B)​ \(80 \left( \cos \frac { 23 } { 63 } \pi + i \sin \frac { 23 } { 63 } \pi \right)\)
• C)​ \(80 \left( \cos \frac { 53 } { 63 } \pi + i \sin \frac { 53 } { 63 } \pi \right)\)
• D)​ \(18 \left( \cos \frac { 1 } { 9 } \pi + i \sin \frac { 1 } { 9 } \pi \right)\)
• E)​ \(80 \left( \cos \frac { 1 } { 9 } \pi + i \sin \frac { 1 } { 9 } \pi \right)\)

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Definitions:

Nasal Speculum

A medical tool used to widen the nostrils for examination of the inner nose.

Nose

The part of the human face that contains the nostrils and the organs of smell and forms the beginning of the respiratory tract.

Sterilized

The state of being free from all living microorganisms, achieved through methods such as heat, chemicals, or radiation, to prevent infection.

Vaginal Speculum

A medical tool used to separate the walls of the vagina for examination of the cervix and the vaginal canal.