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Conditional inequality in a triangle.

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In a triangle ABC, Angles are given in a particular order. Each angle is an acute angle. A number M is defined as Cos(A-B)/2SinA/2SinB/2. Find the minimum value of M.

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Conditional inequality in a triangle is investigated. The solution is detailed and well presented.

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We have M=Cos(A-B)/2SinA/2SinB/2
Using the transformations and elementary trigonometric ...

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