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In a triangleABC, if |(1,1,1),(1+sinA,1+...

In a `triangleABC`, if `|(1,1,1),(1+sinA,1+sinB,1+sinC),(sinA+sin^2A,sinB+sin^2B,sinC+sin^2C)|=0`, then prove that `triangleABC` is an isosceles triangle.

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