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Category: Geometry

Question-111267

Question Number 111267 by I want to learn more last updated on 03/Sep/20 Answered by Her_Majesty last updated on 03/Sep/20 tanαtanβ=sin(αβ)cosαcosβ;cosαcosβ=cos(αβ)+cos(α+β)2ab=tan10°tan50°tan40°=sin10°cos10°sin10°cos50°cos40°=cos50°cos40°cos10°=$$=\frac{\frac{{cos}\mathrm{10}°+{cos}\mathrm{90}°}{\mathrm{2}}}{{cos}\mathrm{10}°}=\frac{\frac{{cos}\mathrm{10}°}{\mathrm{2}}}{{cos}\mathrm{10}°}=\frac{\mathrm{1}}{\mathrm{2}}…