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sin-2-1-2-please-solve-this-

Question Number 135822 by Khakie last updated on 16/Mar/21 $$\left[\frac{{sin}\alpha}{\alpha}\right]^{\mathrm{2}} \:=\frac{\mathrm{1}}{\mathrm{2}}\:\:\:\:\:{please}\:{solve}\:{this} \\ $$ Commented by mr W last updated on 16/Mar/21 $${no}\:{exact}\:{solution}\:{possible}. \\ $$$$\alpha\approx\mathrm{1}.\mathrm{3916} \\…

Find-all-real-a-such-that-f-x-ax-sinx-is-periodic-u-is-the-fractional-part-function-of-the-real-number-u-

Question Number 4748 by Yozzii last updated on 04/Mar/16 $${Find}\:{all}\:{real}\:\boldsymbol{{a}}\:{such}\:{that}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{f}\left({x}\right)=\left\{\boldsymbol{{a}}{x}+{sinx}\right\}\: \\ $$$${is}\:{periodic}.\:\left\{{u}\right\}\:{is}\:{the}\:{fractional}−{part} \\ $$$${function}\:{of}\:{the}\:{real}\:{number}\:{u}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-70277

Question Number 70277 by mr W last updated on 02/Oct/19 Answered by mind is power last updated on 02/Oct/19 $$\frac{{a}}{{sin}\left(\theta\right)}=\frac{\mathrm{2}{a}}{{Sin}\left(\pi−\mathrm{3}\theta\right)}=\frac{\mathrm{2}{a}}{{sin}\left(\mathrm{3}\theta\right)} \\ $$$$\Rightarrow{sin}\left(\mathrm{3}\theta\right)=\mathrm{2}{sin}\left(\theta\right) \\ $$$${sin}\left(\mathrm{3}\theta\right)=−\mathrm{4}{sin}^{\mathrm{3}} \left(\theta\right)+\mathrm{3}{sin}\left(\theta\right)…