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Question Number 57127 by ANTARES VY last updated on 30/Mar/19

$$\left\{\mathbf{cos}1°\right\}+\left\{\mathbf{cos}2°\right\}+\left\{\mathbf{cos}3°\right\}+....+\left\{\mathbf{cos}270\right\}=?$$

Commented by tanmay.chaudhury50@gmail.com last updated on 30/Mar/19

$$\mathit{s}\mathit{o}\mathit{u}\mathit{r}\mathit{c}\mathit{e}\mathit{S}.\mathit{L}\mathit{L}\mathit{o}\mathit{n}\mathit{e}\mathit{y}\mathit{g}\mathit{r}\mathit{e}\mathit{a}\mathit{t}\mathit{m}\mathit{a}\mathit{t}\mathit{h}\mathit{e}\mathit{m}\mathit{a}\mathit{t}\mathit{i}\mathit{c}\mathit{i}\mathit{a}\mathit{n}$$

Commented by Tawa1 last updated on 30/Mar/19

$$\mathrm{from}\mathrm{the}\mathrm{general}\mathrm{formular}:$$$$\mathrm{compare}\mathrm{with}....$$$$\cos \left(\alpha \right)+\cos \left(2\alpha \right)+\cos \left(3\alpha \right)+...+\cos \left(\mathrm{n}\alpha \right)$$$$=\frac{\cos \left[\left(\frac{\mathrm{n}+1}{2}\right)\alpha \right]\sin \left(\frac{\mathrm{n}\alpha }{2}\right)}{\sin \left(\frac{\alpha }{2}\right)}$$$$\alpha =1,\mathrm{n}=270$$$$\cos \left(1\right)+\cos \left(2\right)+\cos \left(3\right)+...+\cos \left(270\right)$$$$=\frac{\cos \left[\left(\frac{270+1}{2}\right)\right]\sin \left(\frac{270}{2}\right)}{\sin \left(\frac{1}{2}\right)}$$$$\cos \left(1\right)+\cos \left(2\right)+\cos \left(3\right)+...+\cos \left(270\right)$$$$=\frac{\cos \left[(135.5)\right]\sin \left(135\right)}{\sin (0.5)}$$$$\cos \left(1\right)+\cos \left(2\right)+\cos \left(3\right)+...+\cos \left(270\right)=-57.7943$$

Commented by ANTARES VY last updated on 30/Mar/19

$$?$$

Commented by tanmay.chaudhury50@gmail.com last updated on 30/Mar/19

$$convertdegree[toradian\to 1^o=\frac{\pi }{180}radian...$$

Commented by tanmay.chaudhury50@gmail.com last updated on 30/Mar/19

Commented by tanmay.chaudhury50@gmail.com last updated on 30/Mar/19

Commented by tanmay.chaudhury50@gmail.com last updated on 30/Mar/19

Commented by tanmay.chaudhury50@gmail.com last updated on 30/Mar/19

Commented by tanmay.chaudhury50@gmail.com last updated on 30/Mar/19

Commented by tanmay.chaudhury50@gmail.com last updated on 30/Mar/19

Commented by peter frank last updated on 30/Mar/19

$$thankyouforsharing$$

Commented by malwaan last updated on 31/Mar/19

$$\mathit{c}\mathit{a}\mathit{n}\mathit{y}\mathit{o}\mathit{u}\mathit{s}\mathit{e}\mathit{n}\mathit{d}\mathit{l}\mathit{i}\mathit{n}\mathit{k}\mathit{t}\mathit{o}$$$$\mathit{d}\mathit{o}\mathit{w}\mathit{l}\mathit{o}\mathit{a}\mathit{d}\mathit{t}\mathit{h}\mathit{e}\mathit{b}\mathit{o}\mathit{o}\mathit{k}?$$$$\mathit{p}\mathit{l}\mathit{e}\mathit{a}\mathit{s}\mathit{e}$$

Commented by ANTARES VY last updated on 31/Mar/19

$$\mathbf{yes}$$

Commented by ANTARES VY last updated on 31/Mar/19

$$\mathbf{do}\mathbf{you}\mathbf{have}\mathbf{a}\mathbf{math}$$$$\mathbf{group}\mathbf{or}\mathbf{telegramm}?$$

Commented by tanmay.chaudhury50@gmail.com last updated on 31/Mar/19

Commented by tanmay.chaudhury50@gmail.com last updated on 31/Mar/19

Commented by tanmay.chaudhury50@gmail.com last updated on 01/Apr/19

Commented by Tawa1 last updated on 01/Apr/19

$$\mathrm{Sir},\mathrm{please}\mathrm{give}\mathrm{me}\mathrm{hint}\mathrm{on}\mathrm{how}\mathrm{to}\mathrm{download}\mathrm{good}\mathrm{textbook}$$$$\mathrm{on}\mathrm{archive}.\mathrm{org}$$

Commented by tanmay.chaudhury50@gmail.com last updated on 01/Apr/19

$$clickonbookthenscrolldownapplydownloadoption$$

Commented by tanmay.chaudhury50@gmail.com last updated on 01/Apr/19

Commented by Tawa1 last updated on 01/Apr/19

$$\mathrm{What}\mathrm{will}\mathrm{i}\mathrm{search}\mathrm{for}\mathrm{or}\mathrm{how}\mathrm{can}\mathrm{i}\mathrm{search}\mathrm{for}\mathrm{a}\mathrm{particular}$$$$\mathrm{textbook}\mathrm{sir}.\mathrm{Sorry}\mathrm{for}\mathrm{disturbing}\mathrm{sir}.$$

Commented by ANTARES VY last updated on 01/Apr/19

$$\mathbf{adress}$$

Commented by tanmay.chaudhury50@gmail.com last updated on 01/Apr/19

$$yousesrchtopicwisesuchasalgebraorTrigonometry$$$$orcalculusorgraphorcoordinategeometry$$$$orphysics..mechanicsorheatorelectricity$$

Commented by Tawa1 last updated on 01/Apr/19

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}$$

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