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garri49 [273]
3 years ago
11

NEED HELP!!?? 40 pts See attached image (Pre-Cal)

Mathematics
1 answer:
Naya [18.7K]3 years ago
7 0

Answer:

8(cos(π) +i·sin(π))

Step-by-step explanation:

The number in parentheses has a magnitude of ...

√(1^2 +(√3)^2) = √4 = 2

Then the cube of that number will have a magnitude of 8, eliminating the 2nd and 4th choices

The angle of the number in parentheses is ...

arctan(-√3/1) = -π/3

Then 3 times that angle will be -π, also π.

The number of interest has a magnitude of 8 and an angle of π, so is written in the desired form as ...

8(cos(π) +i·sin(π)) . . . . . matches the 3rd choice

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