Show that in any triangle `ABC, (a+b+c) (tan (A/2) + tan (B/2)) = 2c cot (C/2)`

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Show that in any triangle `ABC, (a+b+c) (tan (A/2) + tan (B/2)) = 2c cot (C/2)`
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Laziest and worst explainlanatio is only found in doubtnut 🤬🤬

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