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In the triangle ABC, lines OA,OB and OC ...

In the triangle ABC, lines `OA,OB` and `OC` are drawn so that angles OAB, OBC and OCA are each equal to `omega`, prove that `cotomega=cotA+cotB+cotC`

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The correct Answer is:
`cot w =cot A +cot B +cot C.`
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