Write the Complex Conjugate of Z in Polar Form with Argument

question 100

Multiple Choice

Write the complex conjugate of z in polar form with argument $\theta$ between 0 and $2 \pi$$z = 5 - 5 i \sqrt { 3 }$

• A) \(10 ( \cos ( \pi / 3 ) + i \sin ( \pi / 3 ) )\)
• B) \(5 ( \cos ( 5 \pi / 3 ) + i \sin ( 5 \pi / 3 ) )\)
• C) \(10 ( \cos ( \pi / 6 ) + i \sin ( \pi / 6 ) )\)
• D) \(5 ( \cos ( 7 \pi / 6 ) + i \sin ( 7 \pi / 6 ) )\)
• E) none

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Definitions:

Plasma Cells

A type of white blood cell that produces antibodies in response to an infection, thus playing a crucial role in the immune response.

Memory Cells

A type of lymphocyte that remains in the body for a long time after infection or vaccination, providing immunity by remembering the pathogen.

Adaptive Immunity

The branch of the immune system that involves memory, allowing for a faster and more specific response to pathogens previously encountered.