Category: Algebra

Question Number 89032 by M±th+et£s last updated on 14/Apr/20 $$findbyusingde{moivre}^{\prime }sformula$$$$cos\left(2°\right)=?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 23471 by Tinkutara last updated on 31/Oct/17 $$Provethat$$$$\underset{\mathrm{0}\leqslant{i}<{j}\leqslant{n}} {\Sigma\Sigma}\left(\frac{\mathrm{1}}{\:^{{n}} {C}_{{i}} }\:+\:\frac{\mathrm{1}}{\:^{{n}} {C}_{{j}} }\right)\:=\:\underset{{r}=\mathrm{0}} {\overset{{n}−\mathrm{1}} {\sum}}\frac{{n}\:−\:{r}}{\:^{{n}} {C}_{{r}} }\:+\:\underset{{r}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{{r}}{\:^{{n}} {C}_{{r}} }…

Question Number 154516 by liberty last updated on 19/Sep/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 154493 by mathdanisur last updated on 18/Sep/21 $$\mathrm{If}\mathrm{a};\mathrm{b};\mathrm{c}>0\mathrm{and}\mathrm{n}\in {\mathbb{N}}^{+}\mathrm{then}:$$$$\frac{\mathrm{a}^{\mathrm{2}\boldsymbol{\mathrm{n}}} \:+\:\mathrm{b}^{\mathrm{2}\boldsymbol{\mathrm{n}}} \:+\:\mathrm{c}^{\mathrm{2}\boldsymbol{\mathrm{n}}} }{\mathrm{a}^{\boldsymbol{\mathrm{n}}} \mathrm{b}^{\boldsymbol{\mathrm{n}}} \:+\:\mathrm{b}^{\boldsymbol{\mathrm{n}}} \mathrm{c}^{\boldsymbol{\mathrm{n}}} \:+\:\mathrm{c}^{\boldsymbol{\mathrm{n}}} \mathrm{a}^{\boldsymbol{\mathrm{n}}} }\:\geqslant\:\frac{\sqrt{\mathrm{3}\centerdot\left(\mathrm{a}^{\mathrm{2}} \:+\:\mathrm{b}^{\mathrm{2}} \:+\:\mathrm{c}^{\mathrm{2}} \right)}}{\mathrm{a}\:+\:\mathrm{b}\:+\:\mathrm{c}}…

Question Number 88937 by peter frank last updated on 14/Apr/20 Terms of Service Privacy Policy Contact: info@tinkutara.com