Question Number 180436 by Rasheed.Sindhi last updated on 12/Nov/22 $${f}\left({x}−{y}\right)+{f}\left({x}+{y}\right)=\mathrm{2}{f}\left({x}\right){f}\left({y}\right) \\ $$$$\mathrm{find}\:{f}\left({x}\right) \\ $$$${Q}#\mathrm{180407}\:\left({Altered}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 180368 by 281981 last updated on 11/Nov/22 Commented by 281981 last updated on 11/Nov/22 $${ans}:−\pi\:{where}\:{x}\in\left[−\mathrm{1}\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{2}}}\right] \\ $$ Commented by mr W last updated…
Question Number 114812 by Ar Brandon last updated on 21/Sep/20 $$\mathrm{Show}\:\mathrm{that}\: \\ $$$$\mathrm{arcsin}\left(\sqrt{\mathrm{x}}\right)=\frac{\pi}{\mathrm{4}}+\frac{\mathrm{1}}{\mathrm{2}}\mathrm{arcsin}\left(\mathrm{2x}−\mathrm{1}\right) \\ $$ Answered by mr W last updated on 21/Sep/20 $${say}\:{t}=\mathrm{sin}^{−\mathrm{1}} \sqrt{{x}}…
Question Number 114764 by dw last updated on 21/Sep/20 $${Find}\:{period}\:{of}\:{f}\left({x}\right)={e}^{{cos}^{\mathrm{4}} \left(\pi{x}\right)+{x}−\lfloor{x}\rfloor+{cos}^{\mathrm{2}} \left(\pi{x}\right)} \\ $$$$ \\ $$ Answered by PRITHWISH SEN 2 last updated on 22/Sep/20…
Question Number 114765 by dw last updated on 21/Sep/20 $${Find}\:{the}\:\boldsymbol{{maximum}}.\:{and}\:\boldsymbol{{minimum}}\:{value}\:{of}\:\lfloor\mathrm{1}+{sinx}\rfloor+\lfloor\mathrm{1}+{sin}\mathrm{3}{x}\rfloor+\lfloor\mathrm{1}+{sin}\mathrm{2}{x}\rfloor \\ $$$$ \\ $$$$ \\ $$ Answered by PRITHWISH SEN 2 last updated on 21/Sep/20…
Question Number 114627 by john santu last updated on 20/Sep/20 $$\mathrm{sin}\:{A}+\mathrm{sin}\:\mathrm{2}{A}+\mathrm{sin}\:\mathrm{3}{A}+…+\mathrm{sin}\:{nA}\:=?? \\ $$ Answered by mathmax by abdo last updated on 20/Sep/20 $$\mathrm{let}\:\mathrm{S}_{\mathrm{n}} \left(\mathrm{x}\right)\:=\mathrm{sinx}\:+\mathrm{sin}\left(\mathrm{2x}\right)+…+\mathrm{sin}\left(\mathrm{nx}\right)=\sum_{\mathrm{k}=\mathrm{0}} ^{\mathrm{n}}…
Question Number 49064 by Rio Michael last updated on 02/Dec/18 $${solve}\:{for}\:\mathrm{0}°\leqslant\theta\leqslant\mathrm{2}\pi\:{the}\:{equation} \\ $$$${cos}\left(\theta\:+\:\frac{\pi}{\mathrm{3}}\right)\:=\:\frac{\mathrm{1}}{\mathrm{2}} \\ $$ Answered by hknkrc46 last updated on 02/Dec/18 $$\mathrm{cos}\:\left(\theta+\frac{\pi}{\mathrm{3}}\right)=\mathrm{cos}\:\left(\frac{\pi}{\mathrm{3}}\right) \\ $$$$\theta+\frac{\pi}{\mathrm{3}}=\frac{\pi}{\mathrm{3}}+\mathrm{2}\pi{k}\:\vee\:−\left(\theta+\frac{\pi}{\mathrm{3}}\right)=\frac{\pi}{\mathrm{3}}+\mathrm{2}\pi{k}\:\left({k}\in\mathbb{Z}\right)…
Question Number 180025 by cortano1 last updated on 06/Nov/22 $$\:\:\:\:\:\:\:\mathrm{4}−\mathrm{2cos}\:\left(\mathrm{2}\pi\left(\mathrm{13x}+\mathrm{9}\right)^{\mathrm{2}} \right)=\:\mathrm{5sin}\:\left(\pi\left(\mathrm{13x}+\mathrm{9}\right)^{\mathrm{2}} \right) \\ $$$$\:\mathrm{x}=? \\ $$ Answered by Frix last updated on 06/Nov/22 $$\mathrm{4}−\mathrm{2cos}\:\mathrm{2}\alpha\:=\mathrm{5sin}\:\alpha \\…
Question Number 180018 by cortano1 last updated on 06/Nov/22 $$\:\:\frac{\mathrm{sin}\:^{\mathrm{2}} \left(\frac{\mathrm{3}\pi}{\mathrm{7}}\right)}{\mathrm{sin}\:^{\mathrm{2}} \left(\frac{\mathrm{2}\pi}{\mathrm{7}}\right)}\:+\:\frac{\mathrm{sin}\:\left(\frac{\mathrm{3}\pi}{\mathrm{7}}\right)}{\mathrm{sin}\:\left(\frac{\mathrm{2}\pi}{\mathrm{7}}\right)}\:+\mathrm{1}−\mathrm{2sin}\:\left(\frac{\mathrm{5}\pi}{\mathrm{14}}\right)\:=? \\ $$ Commented by Frix last updated on 06/Nov/22 $$\mathrm{2} \\ $$ Terms…
Question Number 114409 by bemath last updated on 19/Sep/20 $${find}\:{solution}\:{set}\:{of}\:{equation} \\ $$$$\:\mathrm{sin}\:{x}\:=\:\mathrm{2}\:,\:{x}\:\in\:\mathbb{C}\:. \\ $$ Answered by bobhans last updated on 19/Sep/20 $$\mathrm{sin}\:{x}\:=\:\frac{{e}^{{ix}} −{e}^{−{ix}} }{\mathrm{2}{i}}\:=\:\mathrm{2}\: \\…