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In triangle ABC ABC ABC, cosA:cosB:cosC=2:9:12 \cos A : \cos B : \cos C = 2 : 9 : 12 cosA:cosB:cosC=2:9:12.
If sinA:sinB:sinC=p:q:r \sin A : \sin B : \sin C = p : q : r sinA:sinB:sinC=p:q:r, where p p p, q q q and r r r are coprime positive integers, find pqr−(p+q+r) pqr-(p+q+r) pqr−(p+q+r).
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