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Find the Trigonometric Form Of −143+14i- 14 \sqrt { 3 } + 14 i

Question 101

Multiple Choice

Find the trigonometric form of −143+14i- 14 \sqrt { 3 } + 14 i . ​


A) ​ 14(cos⁡5π6+isin⁡5π6) 14 \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right)
B) ​ 196(cos⁡2π3+isin⁡2π3) 196 \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)
C) ​ 14(cos⁡2π3+isin⁡2π3) 14 \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)
D) ​ 28(cos⁡2π3+isin⁡2π3) 28 \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)
E) ​ 28(cos⁡5π6+isin⁡5π6) 28 \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right)

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