Pre-calc help? Please explain your answer and I'll mark the Brainliest!
Use De Moivre's Theorem to write the complex number in trigonometric form:

(cos π/4 + i sin π/4)3

A. 3(cos 3π/4 + i sin 3π/4)
B. (cos 3π/4 + i sin 3π/4)
C. (cos π3/64 + i sin π3/64)
D. 3(cos π/12 + i sin π/12)

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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Pre-calc help? Please explain your answer and I'll mark the Brainliest! Use De Moivre's Theorem to write the complex number in trigonometric form: (cos π/4 + i sin π/4)3 A. 3(cos 3π/4 + i sin 3π/4) B. (cos 3π/4 + i sin 3π/4) C. (cos π3/64 + i sin π3/64) D. 3(cos π/12 + i sin π/12)

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Pre-calc help? Please explain your answer and I'll mark the Brainliest!
Use De Moivre's Theorem to write the complex number in trigonometric form:

(cos π/4 + i sin π/4)3

A. 3(cos 3π/4 + i sin 3π/4)
B. (cos 3π/4 + i sin 3π/4)
C. (cos π3/64 + i sin π3/64)
D. 3(cos π/12 + i sin π/12)