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If ∂=cis (8pi)/11, then the value of Re(∂+∂^2+∂^3+∂^4+∂^5)

If ∂=cis(8pi)/11, then the value of Re(∂+∂^2+∂^3+∂^4+∂^5)

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1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
6 years ago
Write ∂ in terms of exp(thetha).
So while finding out the square , cube,fourth & fifth power try to use DeMoivre’s Theorem to simplify.
i.e. [(cos x + isin x)n = cos (nx) + i sin (nx)]
Using consequently the compound angle property and symmetricity of trigonometric ratios to find out the real part. following this approach will lead you towards the correc answer

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