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tan-2-pi-7-tan-2-2pi-7-tan-2-3pi-7-cot-2-pi-7-cot-2-2pi-7-cot-2-3pi-7-




Question Number 167501 by cortano1 last updated on 18/Mar/22
      ((tan^2 (π/7)+tan^2 ((2π)/7)+tan^2 ((3π)/7))/(cot^2 (π/7)+cot^2 ((2π)/7)+cot^2 ((3π)/7))) =?
$$\:\:\:\:\:\:\frac{\mathrm{tan}\:^{\mathrm{2}} \frac{\pi}{\mathrm{7}}+\mathrm{tan}\:^{\mathrm{2}} \frac{\mathrm{2}\pi}{\mathrm{7}}+\mathrm{tan}\:^{\mathrm{2}} \frac{\mathrm{3}\pi}{\mathrm{7}}}{\mathrm{cot}\:^{\mathrm{2}} \frac{\pi}{\mathrm{7}}+\mathrm{cot}\:^{\mathrm{2}} \frac{\mathrm{2}\pi}{\mathrm{7}}+\mathrm{cot}\:^{\mathrm{2}} \frac{\mathrm{3}\pi}{\mathrm{7}}}\:=? \\ $$

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