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gt-2sin-5pi-12-sin-pi-12-slove-this-




Question Number 36821 by Ajayraj1995 last updated on 06/Jun/18
>. 2sin((5π)/(12))sin(π/(12)) slove this.?
$$>.\:\mathrm{2}{sin}\frac{\mathrm{5}\pi}{\mathrm{12}}{sin}\frac{\pi}{\mathrm{12}}\:{slove}\:{this}.? \\ $$
Commented by maxmathsup by imad last updated on 06/Jun/18
=2 sin((π/2) −(π/(12)))sin((π/(12))) =2cos((π/(12)))sin((π/(12)))=sin((π/6)) =(1/2).
$$=\mathrm{2}\:{sin}\left(\frac{\pi}{\mathrm{2}}\:−\frac{\pi}{\mathrm{12}}\right){sin}\left(\frac{\pi}{\mathrm{12}}\right)\:=\mathrm{2}{cos}\left(\frac{\pi}{\mathrm{12}}\right){sin}\left(\frac{\pi}{\mathrm{12}}\right)={sin}\left(\frac{\pi}{\mathrm{6}}\right)\:=\frac{\mathrm{1}}{\mathrm{2}}. \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 06/Jun/18
=cos(((4Π)/(12)))−cos(((6Π)/(12)))  =cos((Π/3))−cos((Π/2))  =(1/2)
$$={cos}\left(\frac{\mathrm{4}\Pi}{\mathrm{12}}\right)−{cos}\left(\frac{\mathrm{6}\Pi}{\mathrm{12}}\right) \\ $$$$={cos}\left(\frac{\Pi}{\mathrm{3}}\right)−{cos}\left(\frac{\Pi}{\mathrm{2}}\right) \\ $$$$=\frac{\mathrm{1}}{\mathrm{2}} \\ $$
Answered by Rio Mike last updated on 06/Jun/18
0.5
$$\mathrm{0}.\mathrm{5} \\ $$

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