Category: Trigonometry

Question Number 9800 by richard last updated on 05/Jan/17 $$\mathrm{is}\mathrm{there}\mathrm{a}\mathrm{value}\mathrm{for}{\mathrm{tg}}^2\frac{\pi }{4}?$$ Commented by FilupSmith last updated on 05/Jan/17 $${tg}^2\frac{\pi }{4}={tg}^2\frac{\pi }{4}$$$$\:…

Question Number 140803 by jlewis last updated on 12/May/21 Answered by Ar Brandon last updated on 12/May/21 $$\mathrm{tany}=\frac{2\mathrm{x}}{{\mathrm{x}}^2-1},1+{\tan }^2\mathrm{y}={\sec }^2\mathrm{y}$$$$\Rightarrow\mathrm{cosy}=\pm\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+\mathrm{tan}^{\mathrm{2}} \mathrm{y}}}=\pm\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+\left(\frac{\mathrm{2x}}{\mathrm{x}^{\mathrm{2}} −\mathrm{1}}\right)^{\mathrm{2}}…

Question Number 9699 by ridwan balatif last updated on 26/Dec/16 Commented by ridwan balatif last updated on 26/Dec/16 $$\mathrm{how}\mathrm{many}\mathrm{x}\mathrm{can}\mathrm{fill}\mathrm{the}\mathrm{equation}$$$$(\cos 3\mathrm{x}+\tan 3\mathrm{x})(\cos 3\mathrm{x}-\tan 3\mathrm{x})=1\mathrm{for}$$$$0⩽\mathrm{x}⩽2\pi ,\mathrm{x}\ne \frac{\pi }{6}+\frac{2\mathrm{k}\pi }{3}\mathrm{and}\mathrm{k}\mathrm{is}(1,2,3,4,\dots )$$$$\mathrm{is}\:….?…

Question Number 140767 by EDWIN88 last updated on 12/May/21 $$\mathrm{Solve}\mathrm{for}\mathrm{x}:2\cot {}^2\mathrm{x}+\csc {}^2\mathrm{x}-2=0$$ Answered by Ar Brandon last updated on 12/May/21 $$\mathrm{2cot}^{\mathrm{2}} \mathrm{x}+\mathrm{csc}^{\mathrm{2}} \mathrm{x}−\mathrm{2}=\mathrm{0}…

Question Number 140746 by 676597498 last updated on 12/May/21 Answered by Ar Brandon last updated on 12/May/21 $$\left(\mathrm{i}\right)(1+3\mathrm{w})(1+{3\mathrm{w}}^2)=1+3({\mathrm{w}}^2+\mathrm{w})+{9\mathrm{w}}^3$$$$=1+3(-{\mathrm{w}}^3)+9\left(1\right)=1-3+9=7$$$$…