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Category: Trigonometry

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}}…

sin-12-13-and-is-in-the-2nd-quadrent-prove-cos-5-13-

Question Number 71146 by sadimuhmud 136 last updated on 12/Oct/19 $$\mathrm{sin}\:\alpha=\frac{\mathrm{12}}{\mathrm{13}}\:\:\mathrm{and}\:\alpha\:\mathrm{is}\:\mathrm{in}\:\mathrm{the}\:\mathrm{2nd}\:\mathrm{quadrent}. \\ $$$$\mathrm{prove}\:\mathrm{cos}\:\alpha=−\frac{\mathrm{5}}{\mathrm{13}} \\ $$ Commented by Rio Michael last updated on 12/Oct/19 $${sin}\alpha\:=\:\frac{\mathrm{12}}{\mathrm{13}} \\…

arcsin-x-arcsin-1-x-t-sin-x-sin-1-x-t-sin-cos-cos-sin-sin-t-x-1-1-x-1-x-1-x-x-1-x-1-t-pi-2-

Question Number 136679 by mnjuly1970 last updated on 24/Mar/21 $$\:\:\:\:\:\:\:\:\:{arcsin}\sqrt{{x}}\:+{arcsin}\left(\sqrt{\mathrm{1}−{x}}\:\right)={t} \\ $$$$\:\:\:\:\:\:{sin}\left(\alpha\right)=\sqrt{{x}}\:\:\:\:{sin}\left(\beta\right)=\sqrt{\mathrm{1}−{x}}\: \\ $$$$\:\:\:\:\alpha+\beta={t} \\ $$$$\:\:\:\:{sin}\left(\alpha\right){cos}\left(\beta\right)+{cos}\left(\alpha\right){sin}\left(\beta\right)={sin}\left({t}\right) \\ $$$$\:\:\sqrt{{x}\:}\:.\sqrt{\mathrm{1}−\mathrm{1}+{x}}\:+\sqrt{\mathrm{1}−{x}}\:.\sqrt{\mathrm{1}−{x}}\: \\ $$$$={x}+\mathrm{1}−{x}=\mathrm{1} \\ $$$$\:\:\:{t}=\frac{\pi}{\mathrm{2}}… \\ $$$$\:\:\: \\…

Solve-the-following-equation-x-sin-x-2-3-pi-

Question Number 5590 by Rasheed Soomro last updated on 21/May/16 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{following}\:\mathrm{equation} \\ $$$$\mathrm{x}−\mathrm{sin}\:\mathrm{x}=\frac{\mathrm{2}}{\mathrm{3}}\pi\:. \\ $$ Commented by Yozzii last updated on 24/May/16 $${Numerical}\:{methods}\:{work},\:{but}\:{one}\: \\ $$$${may}\:{wonder}\:{what}\:{the}\:{exact}\:{value}\left({s}\right)…

cos180-tan-x-

Question Number 5479 by keagan j last updated on 15/May/16 $${cos}\mathrm{180}.{tan}\left(−{x}\right) \\ $$ Answered by Rasheed Soomro last updated on 15/May/16 $${cos}\:\mathrm{180}=−\mathrm{1},{tan}\left(−{x}\right)=−{tan}\left({x}\right)\:\left[{tan}\:\:{is}\:{odd}\:{function}\right] \\ $$$$\therefore\:{cos}\mathrm{180}.{tan}\left(−{x}\right)=\left(−\mathrm{1}\right)\left(−{tan}\:{x}\right) \\…