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Category: Trigonometry

find-the-solution-set-of-the-equation-sec-3-sec-

Question Number 117497 by bemath last updated on 12/Oct/20 $$\mathrm{find}\:\mathrm{the}\:\mathrm{solution}\:\mathrm{set}\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{equation}\:\mathrm{sec}\:\mathrm{3}\theta\:=\:\mathrm{sec}\:\theta \\ $$ Answered by Dwaipayan Shikari last updated on 12/Oct/20 $$\frac{\mathrm{1}}{{cos}\mathrm{3}\theta}=\frac{\mathrm{1}}{{cos}\theta} \\ $$$${cos}\mathrm{3}\theta={cos}\theta…

Question-117259

Question Number 117259 by bemath last updated on 10/Oct/20 Answered by Dwaipayan Shikari last updated on 10/Oct/20 $${tan}\alpha+{tan}\beta=\mathrm{3} \\ $$$${tan}\alpha{tan}\beta=−\mathrm{3} \\ $$$${tan}\left(\alpha+\beta\right)=\frac{{tan}\alpha+{tan}\beta}{\mathrm{1}−{tan}\alpha{tan}\beta}=\frac{\mathrm{3}}{\mathrm{4}} \\ $$$${sin}\left(\alpha+\beta\right)=\frac{\mathrm{3}}{\mathrm{5}}\:,{cos}\left(\alpha+\beta\right)=\frac{\mathrm{4}}{\mathrm{5}} \\…

Calculate-without-using-caculator-a-2-2-sin10-2sin35-sec5-2-cos40-sin5-b-sin6-sin42-sin66-sin78-

Question Number 117046 by 1549442205PVT last updated on 09/Oct/20 $$\mathrm{Calculate}\:\mathrm{without}\:\mathrm{using}\:\mathrm{caculator}: \\ $$$$\left.\mathrm{a}\right)−\mathrm{2}\sqrt{\mathrm{2}}\mathrm{sin10}°\left(\mathrm{2sin35}°−\frac{\mathrm{sec5}°}{\mathrm{2}}−\frac{\mathrm{cos40}°}{\mathrm{sin5}°}\right) \\ $$$$\left.\mathrm{b}\right)\mathrm{sin6}°−\mathrm{sin42}°−\mathrm{sin66}°+\mathrm{sin78}° \\ $$ Answered by bemath last updated on 09/Oct/20 $$\left(\mathrm{a}\right)\:−\mathrm{4}\sqrt{\mathrm{2}}\:\mathrm{sin}\:\mathrm{35}°\:\mathrm{sin}\:\mathrm{10}°+\:\frac{\sqrt{\mathrm{2}}\:\mathrm{sin}\:\mathrm{10}°}{\mathrm{cos}\:\mathrm{5}°}\:+\:\frac{\mathrm{2}\sqrt{\mathrm{2}}\:\mathrm{cos}\:\mathrm{40}°\:\mathrm{sin}\:\mathrm{10}°}{\mathrm{sin}\:\mathrm{5}°}\:= \\…