Product of This Year?? (Part 1)

Algebra Level 5

Given k=12014sin(kπ2015)=a2b. \prod_{k=1}^{2014}\sin\left(\frac{k \pi}{2015}\right) = \frac{a}{2^{b}}. Find a2b2a^2-b^2.


Next : Product of This Year?? (Part 2).

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