Find All the Complex Roots $- 2 i$ A) $32 \left( \cos 342 ^ { \circ } + i \sin 342 ^ { \circ } \right)$

question 206

Multiple Choice

Find all the complex roots. Leave your answers in polar form with the argument in degrees.
-The complex fifth roots of $- 2 i$

• A) \(32 \left( \cos 54 ^ { \circ } + i \sin 54 ^ { \circ } \right) , 32 \left( \cos 126 ^ { \circ } + i \sin 126 ^ { \circ } \right) , 32 \left( \cos 198 ^ { \circ } + i \sin 198 ^ { \circ } \right) , 32 \left( \cos 270 ^ { \circ } + i \sin 270 ^ { \circ } \right)\), \(32 \left( \cos 342 ^ { \circ } + i \sin 342 ^ { \circ } \right)\)
• B) \(\sqrt [ 5 ] { 2 } \left( \cos 54 ^ { \circ } + i \sin 54 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 126 ^ { \circ } + i \sin 126 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 198 ^ { \circ } + i \sin 198 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 270 ^ { \circ } + i \sin 270 ^ { \circ } \right)\), \(\sqrt [ 5 ] { 2 } \left( \cos 342 ^ { \circ } + i \sin 342 ^ { \circ } \right)\)
• C) \(\sqrt [ 5 ] { 2 } \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 117 ^ { \circ } + i \sin 117 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 189 ^ { \circ } + i \sin 189 ^ { \circ } \right) , \sqrt [ 5 ] { 2 } \left( \cos 261 ^ { \circ } + i \sin 261 ^ { \circ } \right)\), \(\sqrt [ 5 ] { 2 } \left( \cos 333 ^ { \circ } + i \sin 333 ^ { \circ } \right)\)
• D) \(\sqrt [ 4 ] { 2 } \left( \cos 54 ^ { \circ } + i \sin 54 ^ { \circ } \right) , \sqrt [ 4 ] { 2 } \left( \cos 126 ^ { \circ } + i \sin 126 ^ { \circ } \right) , \sqrt [ 4 ] { 2 } \left( \cos 198 ^ { \circ } + i \sin 198 ^ { \circ } \right) , \sqrt [ 4 ] { 2 } \left( \cos 270 ^ { \circ } + i \sin 270 ^ { \circ } \right)\), \(\sqrt [ 4 ] { 2 } \left( \cos 342 ^ { \circ } + i \sin 342 ^ { \circ } \right)\)

Understand the influence of unconscious processes on behavior.

Recognize Freud's contributions and criticisms in psychological theory.

Identify modern psychology's standpoint on Freud's theories.

Explain the role of defense mechanisms according to Freud and contemporary perspectives.

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