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Category: Trigonometry

0-pi-2-tan-2-1-2tan-2-2-cos-cos-

Question Number 137197 by Fikret last updated on 30/Mar/21 $$\alpha\:,\:\beta\:\epsilon\:\left(\mathrm{0}\:,\:\frac{\pi}{\mathrm{2}}\right) \\ $$$${tan}^{\mathrm{2}} \alpha\:=\:\mathrm{1}+\mathrm{2}{tan}^{\mathrm{2}} \beta\:\:\Rightarrow\sqrt{\mathrm{2}}{cos}\alpha−{cos}\beta=? \\ $$ Answered by MJS_new last updated on 31/Mar/21 $$\mathrm{cos}\:{x}\:=\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+\mathrm{tan}^{\mathrm{2}} \:{x}}}…

Solve-3cos5x-4sin4x-3-0-in-R-

Question Number 137103 by Boucatchou last updated on 29/Mar/21 $$\:\:\:\:\:\:\:\:\:{Solve}\:\:\mathrm{3}{cos}\mathrm{5}{x}−\mathrm{4}{sin}\mathrm{4}{x}−\mathrm{3}=\mathrm{0}\:\:{in}\:\mathbb{R} \\ $$ Answered by MJS_new last updated on 30/Mar/21 $$\mathrm{obviously}\:{x}=\mathrm{2}{n}\pi\:\mathrm{is}\:\mathrm{a}\:\mathrm{solution} \\ $$$$\mathrm{the}\:\mathrm{others}\:\mathrm{can}\:\mathrm{only}\:\mathrm{be}\:\mathrm{approximated} \\ $$$${x}\approx.\mathrm{966119}+\mathrm{2}{n}\pi \\…

Question-136828

Question Number 136828 by bramlexs22 last updated on 26/Mar/21 Commented by MJS_new last updated on 26/Mar/21 $$\mathrm{only}\:\mathrm{approximation}\:\mathrm{possible} \\ $$$$\mathrm{I}\:\mathrm{get} \\ $$$${x}\approx−\mathrm{2}.\mathrm{04970745} \\ $$$${x}\approx−\mathrm{1}.\mathrm{03320357} \\ $$$${x}\approx.\mathrm{913597550}…

Two-angles-can-be-added-and-subtracted-Can-we-multiply-them-also-For-example-x-radians-y-radians-xy-radians-2-What-will-be-the-meaning-of-radians-2-square-radians-

Question Number 5718 by Rasheed Soomro last updated on 25/May/16 $$\mathrm{Two}\:\mathrm{angles}\:\mathrm{can}\:\mathrm{be}\:\mathrm{added}\:\mathrm{and}\:\mathrm{subtracted}. \\ $$$$\mathrm{Can}\:\mathrm{we}\:\mathrm{multiply}\:\mathrm{them}\:\mathrm{also}? \\ $$$$\mathrm{For}\:\mathrm{example}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{x}\:\mathrm{radians}\:×\:\mathrm{y}\:\mathrm{radians}\:=\:\mathrm{xy}\:\left(\mathrm{radians}\right)^{\mathrm{2}} \:? \\ $$$$\mathrm{What}\:\mathrm{will}\:\mathrm{be}\:\mathrm{the}\:\mathrm{meaning}\:\mathrm{of}\:\:\left(\mathrm{radians}\right)^{\mathrm{2}} \\ $$$$\left(\mathrm{square}\:\mathrm{radians}\right)? \\ $$ Commented…

Question-5632

Question Number 5632 by sanusihammed last updated on 23/May/16 Answered by FilupSmith last updated on 23/May/16 $$\mathrm{Exterior}\:\mathrm{angles}\:=\:\mathrm{360}^{\mathrm{o}} \\ $$$$\mathrm{2}{x}+\mathrm{3}{x}+{x}−\mathrm{40}+{x}+\mathrm{10}+{x}−\mathrm{60}=\mathrm{360} \\ $$$$\mathrm{8}{x}−\mathrm{90}=\mathrm{360} \\ $$$$\mathrm{8}{x}=\mathrm{450} \\ $$$${x}=\frac{\mathrm{450}}{\mathrm{8}}…