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# Solving Triangles

Trigonometric problem solving culminates in this chapter. Leave no side and no angle unmeasured!

In triangle \( ABC \), \( \cos A : \cos B : \cos C = 2 : 9 : 12. \)

If \( \sin A : \sin B : \sin C = p : q : r \), where \( p \), \( q \) and \( r \) are coprime positive integers, find the value of \( pqr-(p+q+r). \)

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