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Given-that-sin-x-sin-y-sin-cos-x-cos-y-cos-Show-that-cos-x-y-1-2-

Question Number 10825 by Saham last updated on 26/Feb/17 $$\mathrm{Given}\:\mathrm{that}\: \\ $$$$\mathrm{sin}\left(\mathrm{x}\right)\:−\:\mathrm{sin}\left(\mathrm{y}\right)\:=\:\mathrm{sin}\left(\theta\right) \\ $$$$\mathrm{cos}\left(\mathrm{x}\right)\:+\:\mathrm{cos}\left(\mathrm{y}\right)\:=\:\mathrm{cos}\left(\theta\right) \\ $$$$\mathrm{Show}\:\mathrm{that}\: \\ $$$$\mathrm{cos}\left(\mathrm{x}\:+\:\mathrm{y}\right)\:=\:−\frac{\mathrm{1}}{\mathrm{2}} \\ $$ Answered by mrW1 last updated…

let-A-1-1-1-1-1-calculate-A-n-2-find-e-A-e-A-3-find-sinA-and-cosA-4-find-ch-A-and-sh-A-

Question Number 76361 by mathmax by abdo last updated on 26/Dec/19 $${let}\:{A}\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\\{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{A}^{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{e}^{{A}} \:\:,{e}^{−{A}} \\ $$$$\left.\mathrm{3}\right)\:{find}\:{sinA}\:{and}\:{cosA} \\ $$$$\left.\mathrm{4}\right)\:{find}\:{ch}\left({A}\right)\:{and}\:{sh}\left({A}\right) \\ $$ Commented by…

Question-10820

Question Number 10820 by chux last updated on 26/Feb/17 Answered by bar Jesús last updated on 26/Feb/17 $$\mathrm{8}{log}_{\mathrm{2}} {x}={log}_{\mathrm{2}} {x}^{\mathrm{8}} ,{x}=\mathrm{2} \\ $$$$\left({x}−\mathrm{1}\right){log}_{{x}} \mathrm{2}={log}_{{x}} \mathrm{2}^{\left({x}−\mathrm{1}\right)}…