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​Find the Trigonometric Form of the Complex Number Shown Below

Question 14

Multiple Choice

​Find the trigonometric form of the complex number shown below. ​
-7 - i


A) ​ 52(cos⁡(arctan⁡(221) ) +isin⁡(arctan⁡(221) ) ) 5 \sqrt { 2 } \left( \cos \left( \arctan \left( \frac { 2 } { 21 } \right) \right) + i \sin \left( \arctan \left( \frac { 2 } { 21 } \right) \right) \right)
B) ​ 52(cos⁡(arctan⁡(−37) ) +isin⁡(arctan⁡(−37) ) ) 5 \sqrt { 2 } \left( \cos \left( \arctan \left( - \frac { 3 } { 7 } \right) \right) + i \sin \left( \arctan \left( - \frac { 3 } { 7 } \right) \right) \right)
C) ​ 52(cos⁡(arctan⁡(−335) ) +isin⁡(arctan⁡(−335) ) ) 5 \sqrt { 2 } \left( \cos \left( \arctan \left( - \frac { 3 } { 35 } \right) \right) + i \sin \left( \arctan \left( - \frac { 3 } { 35 } \right) \right) \right)
D) ​ 52(cos⁡(arctan⁡(17) ) +isin⁡(arctan⁡(17) ) ) 5 \sqrt { 2 } \left( \cos \left( \arctan \left( \frac { 1 } { 7 } \right) \right) + i \sin \left( \arctan \left( \frac { 1 } { 7 } \right) \right) \right)
E) ​ 52(cos⁡(arctan⁡(114) ) +isin⁡(arctan⁡(114) ) ) 5 \sqrt { 2 } \left( \cos \left( \arctan \left( \frac { 1 } { 14 } \right) \right) + i \sin \left( \arctan \left( \frac { 1 } { 14 } \right) \right) \right)

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