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Find the Trigonometric Form of the Complex Number Shown Below 3+i\sqrt { 3 } + i

Question 3

Multiple Choice

Find the trigonometric form of the complex number shown below. 3+i\sqrt { 3 } + i


A) 3(cos⁡(π2) +isin⁡(π2) ) \sqrt { 3 } \left( \cos \left( \frac { \pi } { 2 } \right) + i \sin \left( \frac { \pi } { 2 } \right) \right)
B) 2(cos⁡(3π2) +isin⁡(3π2) ) 2 \left( \cos \left( \frac { \sqrt { 3 } \pi } { 2 } \right) + i \sin \left( \frac { \sqrt { 3 } \pi } { 2 } \right) \right)
C) 3(cos⁡(π3) +isin⁡(π3) ) \sqrt { 3 } \left( \cos \left( \frac { \pi } { 3 } \right) + i \sin \left( \frac { \pi } { 3 } \right) \right)
D) 2(cos⁡(π6) +isin⁡(π6) ) 2 \left( \cos \left( \frac { \pi } { 6 } \right) + i \sin \left( \frac { \pi } { 6 } \right) \right)
E) ​ 23(cos⁡(π6) +isin⁡(π6) ) 2 \sqrt { 3 } \left( \cos \left( \frac { \pi } { 6 } \right) + i \sin \left( \frac { \pi } { 6 } \right) \right)

Correct Answer:

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