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Vitek1552 [10]
3 years ago
9

I need help with number 15,16,and 17

Mathematics
1 answer:
777dan777 [17]3 years ago
7 0
15. A=7, 16. V=9, 17. D=26
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Find z1z2 if z1 = 2/5(cos63° + isin63°) and z2 = 10/3(cos117° + isin117°).
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Answer:

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Step-by-step explanation:

Given are two complex numbers as

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Recall Demoivre theorem as

(cosA+isinA)(cos A+isin B) = cos(A+B)+isin(A+B)

Hence here we have sum of angles  as

A+B = 63+117 =180

z1z2=\frac{2}{5} \frac{10}{3} (cos180+isin180)

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Since sin180=0 and cos 180=-1

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