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Prove-that-in-any-ABC-cotA-cotB-cotC-sinA-sinB-sinC-8-27-




Question Number 205431 by hardmath last updated on 21/Mar/24
Prove that in any  △ABC  ((cotA cotB cotC)/(sinA sinB sinC)) ≤ (8/(27))
$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{in}\:\mathrm{any}\:\:\bigtriangleup\mathrm{ABC} \\ $$$$\frac{\mathrm{cotA}\:\mathrm{cotB}\:\mathrm{cotC}}{\mathrm{sinA}\:\mathrm{sinB}\:\mathrm{sinC}}\:\leqslant\:\frac{\mathrm{8}}{\mathrm{27}} \\ $$

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