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Find-the-value-of-1-cos-2-10-1-sin-2-20-1-sin-2-40-




Question Number 67711 by naka3546 last updated on 30/Aug/19
Find  the  value  of        (1/(cos^2 (10°))) + (1/(sin^2 (20°))) + (1/(sin^2 (40°)))
$${Find}\:\:{the}\:\:{value}\:\:{of} \\ $$$$\:\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{cos}^{\mathrm{2}} \left(\mathrm{10}°\right)}\:+\:\frac{\mathrm{1}}{\mathrm{sin}^{\mathrm{2}} \left(\mathrm{20}°\right)}\:+\:\frac{\mathrm{1}}{\mathrm{sin}^{\mathrm{2}} \left(\mathrm{40}°\right)}\: \\ $$

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