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Represent the Complex Number Graphically,and Find the Trigonometric Form of the Number

Question 99

Multiple Choice

Represent the complex number graphically,and find the trigonometric form of the number. ​
5 + 5i
​


A) ​  Represent the complex number graphically,and find the trigonometric form of the number. ​ 5 + 5i ​ A) ​    z = \sqrt { 5 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)   B) ​   ​  z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } - i \sin \frac { \pi } { 4 } \right)   C) ​    z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } + \sin \frac { \pi } { 4 } \right)   D) ​    z = \sqrt { 5 } \left( \cos \frac { \pi } { 4 } - i \sin \frac { \pi } { 4 } \right)   E) ​    z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right) z=5(cos⁡π4+isin⁡π4) z = \sqrt { 5 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)
B) ​  Represent the complex number graphically,and find the trigonometric form of the number. ​ 5 + 5i ​ A) ​    z = \sqrt { 5 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)   B) ​   ​  z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } - i \sin \frac { \pi } { 4 } \right)   C) ​    z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } + \sin \frac { \pi } { 4 } \right)   D) ​    z = \sqrt { 5 } \left( \cos \frac { \pi } { 4 } - i \sin \frac { \pi } { 4 } \right)   E) ​    z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right) ​ z=50(cos⁡π4−isin⁡π4) z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } - i \sin \frac { \pi } { 4 } \right)
C) ​  Represent the complex number graphically,and find the trigonometric form of the number. ​ 5 + 5i ​ A) ​    z = \sqrt { 5 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)   B) ​   ​  z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } - i \sin \frac { \pi } { 4 } \right)   C) ​    z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } + \sin \frac { \pi } { 4 } \right)   D) ​    z = \sqrt { 5 } \left( \cos \frac { \pi } { 4 } - i \sin \frac { \pi } { 4 } \right)   E) ​    z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right) z=50(cos⁡π4+sin⁡π4) z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } + \sin \frac { \pi } { 4 } \right)
D) ​  Represent the complex number graphically,and find the trigonometric form of the number. ​ 5 + 5i ​ A) ​    z = \sqrt { 5 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)   B) ​   ​  z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } - i \sin \frac { \pi } { 4 } \right)   C) ​    z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } + \sin \frac { \pi } { 4 } \right)   D) ​    z = \sqrt { 5 } \left( \cos \frac { \pi } { 4 } - i \sin \frac { \pi } { 4 } \right)   E) ​    z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right) z=5(cos⁡π4−isin⁡π4) z = \sqrt { 5 } \left( \cos \frac { \pi } { 4 } - i \sin \frac { \pi } { 4 } \right)
E) ​  Represent the complex number graphically,and find the trigonometric form of the number. ​ 5 + 5i ​ A) ​    z = \sqrt { 5 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)   B) ​   ​  z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } - i \sin \frac { \pi } { 4 } \right)   C) ​    z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } + \sin \frac { \pi } { 4 } \right)   D) ​    z = \sqrt { 5 } \left( \cos \frac { \pi } { 4 } - i \sin \frac { \pi } { 4 } \right)   E) ​    z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right) z=50(cos⁡π4+isin⁡π4) z = \sqrt { 50 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)

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