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

Question 137

Multiple Choice

Write the complex number in trigonometric form r(c r(cos⁡θ+isin⁡θ) r ( \cos \theta + i \sin \theta ) ) , with θ\theta in the interval [0 [0∘,360∘) \left[ 0 ^ { \circ } , 360 ^ { \circ } \right)
- 5−53i5 - 5 \sqrt { 3 } i


A) 5(cos⁡330∘+isin⁡330∘) 5 \left( \cos 330 ^ { \circ } + i \sin 330 ^ { \circ } \right)
B) 5(cos⁡330∘+sin⁡i330∘) 5 \left( \cos 330 ^ { \circ } + \sin i 330 ^ { \circ } \right)
C) 10(cos⁡300∘+isin⁡300∘) 10 \left( \cos 300 ^ { \circ } + i \sin 300 ^ { \circ } \right)
D) 10(cos⁡150∘+isin⁡150∘) 10 \left( \cos 150 ^ { \circ } + i \sin 150 ^ { \circ } \right)

Correct Answer:

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