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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 78

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)
- 9+9i9 + 9 i


A) 92(cos⁡315∘+isin⁡315∘) 9 \sqrt { 2 } \left( \cos 315 ^ { \circ } + i \sin 315 ^ { \circ } \right)
B) 92(cos⁡135∘+isin⁡135∘) 9 \sqrt { 2 } \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right)
C) 92(cos⁡225∘+isin⁡225∘) 9 \sqrt { 2 } \left( \cos 225 ^ { \circ } + i \sin 225 ^ { \circ } \right)
D) 92(cos⁡45∘+isin⁡45∘) 9 \sqrt { 2 } \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right)

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