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$If A + B + C = π then the minimum value of \tan^{2} \frac{A}{2} + \tan^{2} \frac{B}{2} + \tan^{2} \frac{C}{2}$

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detailed solution

Correct option is B

In ΔABCtan2A2+tan2B2+tan2C23≥tan2A+B+C6≥3·13≥1

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If A+B+C=π then the minimum value of tan2A2+tan2B2+tan2C2

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$If A + B + C = π then the minimum value of \tan^{2} \frac{A}{2} + \tan^{2} \frac{B}{2} + \tan^{2} \frac{C}{2}$