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Represent the Complex Number Graphically, and Find the Trigonometric Form $z = \sqrt { 5 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)$

Question 80

Multiple Choice

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

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

Represent the Complex Number Graphically, and Find the Trigonometric Form z=5(cos⁡π4+isin⁡π4)z = \sqrt { 5 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)z=5​(cos4π​+isin4π​)

Multiple Choice

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Represent the Complex Number Graphically, and Find the Trigonometric Form $z = \sqrt { 5 } \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)$

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