Category: Algebra

Question Number 206129 by hardmath last updated on 07/Apr/24 Answered by MaruMaru last updated on 07/Apr/24 $$constant\mathcal{C}???$$$$isitpotterconst???$$$$$$https://ko.m.wikipedia.org/wiki/%ED%8F%AC%ED%84%B0_%EC%83%81%EC%88%98 Commented by…

Question Number 206066 by hardmath last updated on 06/Apr/24 $$\mathrm{Find}:$$$$\frac{3}{4}\cdot \frac{8}{9}\cdot \frac{15}{16}\cdot \dots \cdot \frac{120}{121}=?$$ Answered by mr W last updated on 06/Apr/24 $$\underset{{n}=\mathrm{2}} {\overset{\mathrm{11}} {\prod}}\frac{{n}^{\mathrm{2}}…

Question Number 206082 by hardmath last updated on 06/Apr/24 $$\mathrm{If}\cos \mathit{\alpha }=\sin \mathit{\alpha }+\frac{1}{\sqrt{3}}$$$$\mathrm{Find}\sin 2\mathit{\alpha }=?$$ Answered by MATHEMATICSAM last updated on 29/Apr/24 $$\cos \alpha =\sin \alpha +\frac{1}{\sqrt{3}}$$$$\Rightarrow\:\mathrm{cos}\alpha\:−\:\mathrm{sin}\alpha\:=\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}} \…

Question Number 205988 by cortano12 last updated on 04/Apr/24 $$Givenf(x+1)=2^{f\left(x\right)}.f\left(1\right)$$$$andf\left(1\right)=16$$$$thenf\left(2016\right)=?$$ Answered by Berbere last updated on 04/Apr/24 $${f}\left(\mathrm{2}\right)=\mathrm{2}^{\mathrm{20}}…

Question Number 205941 by cortano12 last updated on 03/Apr/24 $$2+\frac{2}{2-\frac{2}{2+\frac{2}{2-\frac{2}{2+\frac{2}{3}}}}}=?$$$$$$ Answered by mr W last updated on 03/Apr/24 $$2+\frac{2}{2-\frac{2}{2+\frac{2}{2-\frac{2}{2+\frac{2}{3}}}}}$$$$=\mathrm{2}+\frac{\mathrm{2}}{\mathrm{2}−\frac{\mathrm{2}}{\mathrm{2}+\frac{\mathrm{2}}{\mathrm{2}−\frac{\mathrm{3}}{\mathrm{4}}}}}…