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Multiply the Complex Numbers Below and Leave the Result in Trigonometric

Question 98

Multiple Choice

Multiply the complex numbers below and leave the result in trigonometric form. [0.1(cos⁡260∘+isin⁡260∘) ][0.9(cos⁡220∘+isin⁡220∘) ]\left[ 0.1 \left( \cos 260 ^ { \circ } + i \sin 260 ^ { \circ } \right) \right] \left[ 0.9 \left( \cos 220 ^ { \circ } + i \sin 220 ^ { \circ } \right) \right] ​


A) 0.09(cos⁡120∘+isin⁡120∘) 0.09 \left( \cos 120 ^ { \circ } + i \sin 120 ^ { \circ } \right)
B) ​ 0.09(cos⁡120∘+isin⁡40∘) 0.09 \left( \cos 120 ^ { \circ } + i \sin 40 ^ { \circ } \right)
C) ​ cos⁡40∘+isin⁡40∘\cos 40 ^ { \circ } + i \sin 40 ^ { \circ }
D) ​ 0.09(cos⁡40∘+isin⁡40∘) 0.09 \left( \cos 40 ^ { \circ } + i \sin 40 ^ { \circ } \right)
E) ​ cos⁡120∘+isin⁡120∘\cos 120 ^ { \circ } + i \sin 120 ^ { \circ }

Correct Answer:

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