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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 123

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)
- 15+20i15 + 20 \mathrm { i }


A) 25(cos⁡126.9∘+isin⁡126.9∘) 25 \left( \cos 126.9 ^ { \circ } + i \sin 126.9 ^ { \circ } \right)
B) 25(cos⁡53.1∘+isin⁡53.1∘) 25 \left( \cos 53.1 ^ { \circ } + i \sin 53.1 ^ { \circ } \right)
C) 25(cos⁡233.1∘+isin⁡233.1∘) 25 \left( \cos 233.1 ^ { \circ } + \mathrm { i } \sin 233.1 ^ { \circ } \right)
D) 25(cos⁡306.9∘+isin⁡306.9∘) 25 \left( \cos 306.9 ^ { \circ } + i \sin 306.9 ^ { \circ } \right)

Correct Answer:

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