Category: Trigonometry

Question Number 124927 by bemath last updated on 07/Dec/20 Answered by liberty last updated on 07/Dec/20 $$\left(1\right)\sin 38°=\frac{x+y}{8};x+y=8.\sin 38°$$$$\Rightarrow x+y=4.9ft$$$$\left(2\right)\sin 52°=\frac{t}{8};t=8.\sin 52°=6.3ft$$$$\left(3\right)\tan 20°=\frac{x}{t};x=t.\tan 20°=2.3$$$${then}\:{we}\:{get}\:{y}\:=\:\mathrm{4}.\mathrm{9}−\mathrm{2}.\mathrm{3}\:=\:\mathrm{2}.\mathrm{6}\:{ft}…

Question Number 59305 by pete last updated on 07/May/19 $$\mathrm{Witthout}\mathrm{using}\mathrm{mathematical}\mathrm{tables}\mathrm{or}$$$$\mathrm{calculator},\mathrm{find},\mathrm{in}\mathrm{surdform}\left(\mathrm{radicals}\right)$$$$,\mathrm{the}\mathrm{value}\tan 22.5°$$ Answered by ajfour last updated on 07/May/19 $$\mathrm{tan}\:\mathrm{2}\theta=\frac{\mathrm{2tan}\:\theta}{\mathrm{1}−\mathrm{tan}\:^{\mathrm{2}} \theta}…

Question Number 190306 by cortano12 last updated on 31/Mar/23 Answered by Frix last updated on 31/Mar/23 $$\mathrm{Area}\mathrm{of}\mathrm{triangle}u,v,w\mathrm{is}$$$$\frac{\sqrt{(u+v+w)(u+v-w)(u+w-v)(v+w-u)}}{4}=$$$$=\frac{\sqrt{\mathrm{2}\left({u}^{\mathrm{2}} {v}^{\mathrm{2}} +{u}^{\mathrm{2}} {w}^{\mathrm{2}} +{v}^{\mathrm{2}}…

Question Number 190185 by mnjuly1970 last updated on 29/Mar/23 $$$$$$\mathrm{In}\mathrm{A}\stackrel{\mathrm{\Delta }}{\mathrm{B}C}:$$$$$$$$\mathrm{If},\sin \left(\hat{\mathrm{A}}\right)=\frac{1}{2\sqrt{2+\sqrt{3}}}\Rightarrow \hat{\mathrm{A}}=?$$$$$$ Commented by…

Question Number 124557 by bemath last updated on 04/Dec/20 $$Findminimumandmaximum$$$$off\left(x\right)=\frac{9x^2\sin {}^{2}x+4}{x\sin x}$$$$where0<x<\pi$$ Answered by mr W last updated on…