Series of Complex Stuff

Algebra Level 4

\[\displaystyle \sum_{p=1}^{32} (3p+2) \left[ \displaystyle \sum_{q=1}^{10} \left( \sin\left(\frac{2q\pi}{11} \right)-i\cos\left( \frac{2q\pi}{11} \right) \right)\right]^{4}=\, ?\]

Note : \(i=\sqrt{-1}\)


Practice the set Target JEE_Advanced - 2015 and boost up your preparation.
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