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Find the Trigonometric Form of the Complex Number Shown Below

Question 258

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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