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Write the Complex Number in Trigonometric Form r(cos⁡θ+isin⁡θ)r ( \cos \theta + i \sin \theta )

Question 365

Multiple Choice

Write the complex number in trigonometric form r(cos⁡θ+isin⁡θ) r ( \cos \theta + i \sin \theta ) with θ in the interval [0°, 360°) .
- −7−i7- \sqrt { 7 } - \mathrm { i } \sqrt { 7 }


A) 14(cos⁡225∘+isin⁡225∘) \sqrt { 14 } \left( \cos 225 ^ { \circ } + \mathrm { i } \sin 225 ^ { \circ } \right)
B) 14(cos⁡315∘+isin⁡315∘) \sqrt { 14 } \left( \cos 315 ^ { \circ } + i \sin 315 ^ { \circ } \right)
C) 14(cos⁡45∘+isin⁡45∘) \sqrt { 14 } \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right)
D) 14(cos⁡135∘+isin⁡135∘) \sqrt { 14 } \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right)

Correct Answer:

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