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Angle α is divided into two parts A and B such that A − B = x and tan A ∶ tanB = p ∶ q. The value of sinx is equal to

A. ((p + q)sinα)/(p - q)

B. (psinα)/(p - q)

C. (psinα)/(p - q)

D. ((p - q)sinα)/(p + q)

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Correct option D. ((p - q)sinα)/(p + q)

Explanation:

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