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If e^(log^2[sin^2alpha+sin^4alpha+sin^6 ...

If `e^(log_^2[sin^2alpha+sin^4alpha+sin^6 alpha+…to oo])` is a root of equation `x^2-9x+8=0 where 0ltalphalt pi/2` then the principal value of `sin^- ((2pi)/3)` is (A) `alpha` (B) `2alpha` (C) `-alpha` (D) `-2alpha`

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