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Prove that the triangle ABC is equilater...

Prove that the triangle ABC is equilateral if `cotA+cotB+cotC=sqrt3`

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Prove that the triangle ABC is equilateral if cot A+cot B+cot C=sqrt(3)

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ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
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  2. If A+B+C=pi, prove that tan^2A/2+tan^2B/2+tan^2C/2geq1.

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  3. Prove that the triangle ABC is equilateral if cotA+cotB+cotC=sqrt3

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  9. Period of sin^2theta is- pi^2 b. pi/2 c. 2pi d. pi

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