Guest

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)

Grade:

1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
9 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

Think You Can Provide A Better Answer ?

ASK QUESTION

Get your questions answered by the expert for free