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Q.

If $z_{k} = \cos (\frac{kπ}{10}) + isin (\frac{kπ}{10}), then z_{1} z_{2} z_{3} z_{4}$ is equal to

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answer is -1.

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Detailed Solution

$z_{1} z_{2} z_{3} z_{4} = c is (\frac{π}{10} + \frac{2 π}{10} + \frac{3 π}{10} + \frac{4 π}{10}) = c i s π = - 1$

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