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Author: Tinku Tara

Question-9215

Question Number 9215 by arinto27 last updated on 23/Nov/16 Answered by ridwan balatif last updated on 23/Nov/16 $$\mathrm{benda}\:\mathrm{dititik}\:\mathrm{tertinggi}\:\mathrm{memiliki}\:\mathrm{energi}\:\mathrm{potensial}\:\mathrm{sebesar}\:\mathrm{E}_{\mathrm{o}} \\ $$$$\mathrm{dimana}\:\mathrm{E}_{\mathrm{o}} =\mathrm{mgh}\:\left(\mathrm{misalkan}\:\mathrm{dititik}\:\mathrm{tertinggi},\:\mathrm{kita}\:\mathrm{beri}\:\mathrm{nama}\:\mathrm{titik}\:\mathrm{A}\right) \\ $$$$\mathrm{EM}_{\mathrm{A}} =\mathrm{EM}_{\mathrm{p}} \\…

Question-74748

Question Number 74748 by mr W last updated on 30/Nov/19 Commented by mr W last updated on 30/Nov/19 $${If}\:{the}\:{total}\:{area}\:{of}\:{red}\:{squares}\:{is}\:{A}. \\ $$$${Find}\:{the}\:{total}\:{area}\:{of}\:{the}\:{blue}\:{squares} \\ $$$${and}\:{that}\:{of}\:{the}\:{green}\:{squares}. \\ $$$$…

If-sinA-sinB-a-tanA-tanB-b-secA-secB-c-Prove-that-8bc-a-4b-2-b-2-c-2-2-

Question Number 9211 by tawakalitu last updated on 23/Nov/16 $$\mathrm{If} \\ $$$$\mathrm{sinA}\:+\:\mathrm{sinB}\:=\:\mathrm{a} \\ $$$$\mathrm{tanA}\:+\:\mathrm{tanB}\:=\:\mathrm{b} \\ $$$$\mathrm{secA}\:+\:\mathrm{secB}\:=\:\mathrm{c} \\ $$$$\mathrm{Prove}\:\mathrm{that}, \\ $$$$\mathrm{8bc}\:=\:\mathrm{a}\left[\mathrm{4b}^{\mathrm{2}} \:+\:\left(\mathrm{b}^{\mathrm{2}} \:−\:\mathrm{c}^{\mathrm{2}} \right)\right]^{\mathrm{2}} \\ $$…

Question-74747

Question Number 74747 by mr W last updated on 30/Nov/19 Answered by mind is power last updated on 30/Nov/19 $$\mathrm{let}\:\mathrm{p},\mathrm{q},\mathrm{r}\:\mathrm{side}\:\mathrm{of}\:\mathrm{red}\:\mathrm{squar},\mathrm{a},\mathrm{b},\mathrm{c}\:\mathrm{blue} \\ $$$$\alpha,\beta,\varsigma\:\:\mathrm{angle}\:\mathrm{thetriangl}\:\mathrm{inside}\:\mathrm{red}\:\mathrm{squar} \\ $$$$\mathrm{a}^{\mathrm{2}} =\mathrm{p}^{\mathrm{2}}…

k-0-p-1-p-k-sin-2-p-k-x-p-0-sin-2px-p-1-sin-2p-2-x-p-2-sin-2p-4-x-p-p-1-sin-2x-2-p-cos-p-x-sin-px-or-0-cos-p-x-

Question Number 140282 by qaz last updated on 06/May/21 $$\underset{{k}=\mathrm{0}} {\overset{{p}−\mathrm{1}} {\sum}}\begin{pmatrix}{{p}}\\{{k}}\end{pmatrix}\mathrm{sin}\:\left[\mathrm{2}\left({p}−{k}\right){x}\right]=? \\ $$$$\begin{pmatrix}{{p}}\\{\mathrm{0}}\end{pmatrix}\mathrm{sin}\:\left(\mathrm{2}{px}\right)+\begin{pmatrix}{{p}}\\{\mathrm{1}}\end{pmatrix}\mathrm{sin}\:\left[\left(\mathrm{2}{p}−\mathrm{2}\right){x}\right]+\begin{pmatrix}{{p}}\\{\mathrm{2}}\end{pmatrix}\mathrm{sin}\:\left[\left(\mathrm{2}{p}−\mathrm{4}\right){x}\right]+…+\begin{pmatrix}{\:\:\:{p}}\\{{p}−\mathrm{1}}\end{pmatrix}\mathrm{sin}\:\left(\mathrm{2}{x}\right)=\mathrm{2}^{{p}} \centerdot\mathrm{cos}\:^{{p}} \left({x}\right)\centerdot\mathrm{sin}\:\left({px}\right)\:\:\:\:\:??? \\ $$$${or}\:\:\int_{\mathrm{0}} ^{\infty} \frac{\mathrm{cos}\:^{{p}} \left({x}\right)\centerdot\mathrm{sin}\:\left({px}\right)}{{x}}{dx}=\frac{\pi}{\mathrm{2}}\left(\mathrm{1}−\mathrm{2}^{−{p}} \right)\:\:\:\:\:{why}\:??? \\ $$ Terms…

If-and-are-the-roots-of-x-2-x-1-0-Find-23-23-without-demoivre-s-theorem-

Question Number 74742 by TawaTawa last updated on 30/Nov/19 $$\mathrm{If}\:\:\alpha\:\mathrm{and}\:\beta\:\mathrm{are}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\:\:\:\:\mathrm{x}^{\mathrm{2}} \:−\:\mathrm{x}\:+\:\mathrm{1}\:\:\:=\:\:\mathrm{0},\:\: \\ $$$$\mathrm{Find}\:\:\:\:\:\:\:\:\:\alpha^{\mathrm{23}} \:+\:\beta^{\mathrm{23}} \:\:\:\:\:\mathrm{without}\:\mathrm{demoivre}'\mathrm{s}\:\mathrm{theorem}. \\ $$ Commented by abdomathmax last updated on 02/Dec/19 $${x}^{\mathrm{2}}…