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cupoosta [38]
3 years ago
15

Pre-calc help? Please explain your answer and I'll mark the Brainliest!

Mathematics
1 answer:
Ghella [55]3 years ago
3 0

Answer:

 B.  (cos 3π/4 + i sin 3π/4)

Step-by-step explanation:

DeMoivre's theorem tells you the cube of a complex number is the cube of its magnitude at 3 times the angle. The given number has a magnitude of 1, so its cube will also. Three times the angle of the given number is ...

  3 × π/4 = 3π/4

so the number you're looking for among the answer choices is ...

  (cos(3π/4) +i·sin(3π/4)) . . . . matches choice B

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