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Mathematics, 30.04.2021 19:30 hcameron65

What is the missing number? 17- =8​

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Answer from: AmaiyahHarrison6356

9

Step-by-step explanation:

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Answer from: Quest
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Answer from: Quest

 \cos( \frac{4\pi}{5} ) + i \:  sin( \frac{4\pi}{5}) \\ \\ = e {}^{i \frac{4\pi}{5} } \\ \\ \ \\ so \\ \\ \sqrt[3]{8 \:  ( \cos( \frac{4\pi}{5} ) + isin \frac{4\pi}{5 } ) } \\ \\ \\ \\ 2 \:  \:  \sqrt[3]{e {}^{ \frac{i4\pi}{5} } } \\ \\ 2 \:  e {}^{ \frac{i4\pi}{15} }

Use de moivre’s theorem to compute the following: i attempted to do it but i got the wrong answer a

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