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Use De Moivre's Theorem to Find the Indicated Power of the Complex

Question 309

Multiple Choice

Use De Moivre's Theorem to find the indicated power of the complex number. Write your answer in standard form a + bi.
- (cos11+isin11) 3\left( \cos 11 ^ { \circ } + i \sin 11 ^ { \circ } \right) ^ { 3 }


A) 0.84+0.54i0.84 + 0.54 i
B) 1.38i1.38 \mathrm { i }
C) 2.52+1.63i2.52 + 1.63 \mathrm { i }
D) 1.381.38

Correct Answer:

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