Question Number 37953 by ajfour last updated on 19/Jun/18 Commented by ajfour last updated on 19/Jun/18 $${Find}\:{the}\:{area}\:{in}\:{blue}.\:{z}_{{i}} \:{are}\: \\ $$$${complex}\:{numbers}\:{on}\:{the}\:\mathbb{C}\:{plane}. \\ $$ Terms of Service…
Question Number 169004 by mathlove last updated on 23/Apr/22 $$\underset{{x}\rightarrow\frac{\pi}{\mathrm{2}}} {\mathrm{lim}}\left(\frac{{sinx}−\mathrm{1}}{{x}−\frac{\pi}{\mathrm{2}}}\right)=? \\ $$ Commented by infinityaction last updated on 23/Apr/22 $$\:\:\:\:\:\:\:\:\:\:\:\left({let}\right){p}\:\:\:\:\:\:\:\:=\:\:\:\:\:\:\underset{{x}\rightarrow\frac{\pi}{\mathrm{2}}} {\mathrm{lim}}\:\left(\frac{\mathrm{sin}\:{x}−\mathrm{sin}\:\frac{\pi}{\mathrm{2}}}{{x}−\frac{\pi}{\mathrm{2}}}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:{p}\:\:\:\:=\:\:\:\:\:\:\:\underset{{x}\rightarrow\frac{\pi}{\mathrm{2}}} {\mathrm{lim}}\:\left\{\frac{\mathrm{2cos}\:\left(\frac{{x}+\pi/\mathrm{2}}{\mathrm{2}}\right)\mathrm{sin}\:\left(\frac{{x}−\pi/\mathrm{2}}{\mathrm{2}}\right)}{\mathrm{2}\left(\frac{{x}−\pi/\mathrm{2}}{\mathrm{2}}\right)}\right\}…
Question Number 37906 by mondodotto@gmail.com last updated on 19/Jun/18 Answered by tanmay.chaudhury50@gmail.com last updated on 19/Jun/18 $${join}\:{oB}\:{so}\:<{OBC}=\mathrm{90}^{{o}} \\ $$$$<{BEO}=<{OBE}={x}\left\{{since}\:{OB}={OE}={radius}\right\} \\ $$$${x}+\mathrm{18}^{{o}} +\mathrm{90}^{{o}} +{x}=\mathrm{180}^{{o}} \\ $$$$\mathrm{2}{x}=\mathrm{72}^{{o}}…
Question Number 103436 by bramlex last updated on 15/Jul/20 $$\underset{\mathrm{n}\:=\:\mathrm{3}} {\overset{\infty} {\prod}}\left(\mathrm{1}−\frac{\mathrm{4}}{\mathrm{n}^{\mathrm{2}} }\right)\:=\:? \\ $$ Answered by Worm_Tail last updated on 15/Jul/20 $$\underset{\mathrm{3}} {\overset{{oo}} {\prod}}\left(\mathrm{1}−\frac{\mathrm{4}}{{n}^{\mathrm{2}}…
Question Number 168968 by infinityaction last updated on 22/Apr/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 37890 by abdo mathsup 649 cc last updated on 19/Jun/18 $${calculate}\:{A}_{{n}} =\:\sum_{{k}=\mathrm{0}} ^{{n}} \left(−\mathrm{1}\right)^{{k}} \left(\mathrm{2}{k}+\mathrm{3}\right)\:{interms}\:{of}\:{n} \\ $$ Commented by prof Abdo imad last…
Question Number 168956 by mnjuly1970 last updated on 22/Apr/22 $$ \\ $$$$\:\:\:\:{solve} \\ $$$$\:\:\lfloor\:{x}\:\rfloor\:+\:\lfloor\:\frac{{x}}{\mathrm{6}}\:\rfloor\:=\frac{\mathrm{2}}{\mathrm{3}}\:{x} \\ $$$$ \\ $$ Answered by aleks041103 last updated on 22/Apr/22…
Question Number 37885 by abdo mathsup 649 cc last updated on 19/Jun/18 $${find}\:\:\:\prod_{{k}=\mathrm{1}} ^{{n}} \:{cos}\left(\frac{{k}\pi}{\mathrm{2}{n}+\mathrm{1}}\right)\:\:{and}\:\prod_{{k}=\mathrm{1}} ^{{n}} \:{sin}\left(\frac{{k}\pi}{\mathrm{2}{n}+\mathrm{1}}\right) \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 168921 by Shrinava last updated on 21/Apr/22 Answered by mr W last updated on 22/Apr/22 Commented by Tawa11 last updated on 22/Apr/22 $$\mathrm{Great}\:\mathrm{sir}.…
Question Number 168881 by Eulerian last updated on 20/Apr/22 $$\:\mathrm{sin}\left(\pi\sqrt{\mathrm{ix}}\right)\:+\:\mathrm{sinh}\left(\pi\sqrt{\mathrm{ix}}\right)\:=\:\mathrm{0} \\ $$$$\: \\ $$$$\:\mathrm{Find}\:\mathrm{all}\:\mathrm{the}\:\mathrm{real}\:\mathrm{value}/\mathrm{s}\:\mathrm{of}\:\mathrm{x}. \\ $$ Answered by MJS_new last updated on 20/Apr/22 $$\mathrm{sin}\:{t}\:+\mathrm{sinh}\:{t}\:=\mathrm{0}\:\Rightarrow\:{t}=\mathrm{0} \\…