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If $z_{k} = \cos (\frac{k π}{10}) + i \sin (\frac{k π}{10})$ then z₁ z₂ z₃ z₄is equal

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Correct option is A

We have zk=ωk where ω=cos⁡π10+isin⁡π10Thus , z1z2z3z4=ω⋅ω2⋅ω3⋅ω4=ω10=cos⁡10π10+isin⁡10π10 [by the De Movire ’s Theorem]=cos⁡π+isin⁡π=−1

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If zk=cos⁡kπ10+isin⁡kπ10 then z1 z2 z3 z4 is equal

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If $z_{k} = \cos (\frac{k π}{10}) + i \sin (\frac{k π}{10})$ then z₁ z₂ z₃ z₄is equal