Category: Trigonometry

Question Number 146874 by gsk2684 last updated on 16/Jul/21 $$letthelinejoiningthrough$$$$orthocenterandcircumcenter$$$$ofatriangleABCisparallelto$$$$thebaseBCthenfind\tan B.\tan C$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 15786 by tawa tawa last updated on 13/Jun/17 $$\mathrm{Solve}\mathrm{for}\mathrm{x}$$$$\cos \left(\frac{\mathrm{x}}{7}\right)-\cos \left(\frac{2\mathrm{x}}{7}\right)+\cos \left(\frac{3\mathrm{x}}{7}\right)=\frac{1}{2}$$ Commented by tawa tawa last updated on 14/Jun/17 $$\mathrm{please}\:\mathrm{help}\:\mathrm{with}\:\mathrm{this}. \…

Question Number 15759 by prakash jain last updated on 13/Jun/17 $$\mathrm{Let}\mathrm{us}\mathrm{call}\mathrm{complex}\mathrm{triangle}\mathrm{which}$$$$\mathrm{has}\mathrm{either}\mathrm{sides}\mathrm{or}\mathrm{angles}\mathrm{are}$$$$\mathrm{complex}\mathrm{numbers}.$$$$\mathrm{Let}a,b,c\in \mathbb{R}\mathrm{which}\mathrm{are}\mathrm{sides}\mathrm{of}$$$$\mathrm{a}\mathrm{complex}\mathrm{triangle}\mathrm{which}\mathrm{need}$$$$\mathrm{not}\mathrm{satisfy}\mathrm{triangle}\mathrm{inequality}.$$$$\mathrm{say}a=1,b=2\mathrm{and}c=4.$$$$\mathrm{Prove}\:\left(\mathrm{or}\:\mathrm{counter}\:\mathrm{example}\right)…

Question Number 15761 by Tinkutara last updated on 13/Jun/17 $$\mathrm{If}\mathrm{in}\mathrm{a}\mathrm{\Delta }ABC,\frac{2\cos A}{a}+\frac{\cos B}{b}+\frac{2\cos C}{c}$$$$=\frac{a}{bc}+\frac{b}{ac},\mathrm{prove}\mathrm{that}\mathrm{\angle }A=90°.$$ Answered by ajfour last updated on 13/Jun/17 $$\frac{\mathrm{2cos}\:{A}}{{a}}+\frac{\mathrm{cos}\:{B}}{{b}}+\frac{\mathrm{2cos}\:{C}}{{c}}=\frac{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} }{{abc}} \…

Question Number 146729 by alcohol last updated on 15/Jul/21 Terms of Service Privacy Policy Contact: info@tinkutara.com