Let O be a point inside a triangle A B C...

Let `O` be a point inside a triangle `A B C` such that `/_O A B=/_O B C=/_O C A=omega` , then show that: `cotomega=cotA+cotB+cot C` `Cos e c^2omega=cos e c^2A+cos e c^2B+cos e c^2C`

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