2006 Seniors Pancyprian/2nd grade/Problem 3

Problem

i)Convert $\alpha=\sin(x-y)+\sin(y-z)+\sin(z-x)$ into product.

ii)Prove that: If in a triangle $\alpha\beta\gamma$ is true that $\alpha \sin \beta + \beta \sin \gamma + \gamma \sin \alpha= \frac{\alpha+\beta+\gamma}{2}$ , then the triangle is isosceles.

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2006 Seniors Pancyprian/2nd grade/Problem 3

Problem

Solution

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