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Author: Tinku Tara

If-cos-1-x-a-cos-1-y-b-prove-x-2-a-2-2xy-ab-cos-y-2-b-2-sin-2-

Question Number 10948 by rish@bh last updated on 03/Mar/17 $$\mathrm{If}\:\mathrm{cos}^{−\mathrm{1}} \frac{{x}}{{a}}+\mathrm{cos}^{−\mathrm{1}} \frac{{y}}{{b}}=\alpha \\ $$$${prove}\: \\ $$$$\frac{{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }−\frac{\mathrm{2}{xy}}{{ab}}\mathrm{cos}\:\alpha+\frac{{y}^{\mathrm{2}} }{{b}^{\mathrm{2}} }=\mathrm{sin}^{\mathrm{2}} \alpha \\ $$ Answered by…

In-a-triangle-ABC-prove-the-following-a-b-c-2-a-2-b-2-c-2-cot-A-2-cot-B-2-cot-C-2-cot-A-cot-B-cot-C-

Question Number 10947 by rish@bh last updated on 03/Mar/17 $$\mathrm{In}\:\mathrm{a}\:\mathrm{triangle}\:\mathrm{ABC}\:\mathrm{prove}\:\mathrm{the}\:\mathrm{following} \\ $$$$\frac{\left({a}+{b}+{c}\right)^{\mathrm{2}} }{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} }\:=\:\frac{\mathrm{cot}\:\frac{{A}}{\mathrm{2}}+\mathrm{cot}\:\frac{{B}}{\mathrm{2}}+\mathrm{cot}\:\frac{{C}}{\mathrm{2}}}{\mathrm{cot}\:{A}+\mathrm{cot}\:{B}+\mathrm{cot}\:{C}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Find-all-ordered-pairs-a-b-so-that-ab-a-b-is-an-integer-a-and-b-are-integers-

Question Number 10944 by 314159 last updated on 03/Mar/17 $$\mathrm{Find}\:\mathrm{all}\:\mathrm{ordered}\:\mathrm{pairs}\:\left(\mathrm{a},\mathrm{b}\right)\:\mathrm{so}\:\mathrm{that}\:\frac{\mathrm{ab}}{\mathrm{a}+\mathrm{b}}\:\mathrm{is}\:\mathrm{an}\:\mathrm{integer}. \\ $$$$\left(\mathrm{a}\:\mathrm{and}\:\mathrm{b}\:\mathrm{are}\:\mathrm{integers}\right). \\ $$ Commented by FilupS last updated on 03/Mar/17 $${n}=\frac{{ab}}{{a}+{b}},\:\:\:\:\:{n},\:{a},\:{b}\:\in\:\mathbb{Z} \\ $$$$\: \\…

Hello-Solve-in-pi-pi-2sinx-cosx-sinx-0-result-should-be-in-radian-please-help-me-

Question Number 76477 by mathocean1 last updated on 27/Dec/19 $$\mathrm{Hello}\:\mathrm{Solve}\:\mathrm{in}\: \\ $$$$\left.\right]−\pi;\pi\left[\right. \\ $$$$\frac{\mathrm{2sin}{x}}{{cosx}−{sinx}}\geqslant\mathrm{0} \\ $$$$\mathrm{result}\:\mathrm{should}\:\mathrm{be}\:\mathrm{in}\:\mathrm{radian} \\ $$$$\mathrm{please}\:\mathrm{help}\:\mathrm{me}\:… \\ $$ Answered by Kunal12588 last updated…

Question-76475

Question Number 76475 by aliesam last updated on 27/Dec/19 Answered by mr W last updated on 27/Dec/19 $${y}=\mathrm{85}−\mathrm{85}\left(\frac{{x}−\mathrm{70}}{\mathrm{70}}\right)^{\mathrm{2}} \\ $$$$ \\ $$$${at}\:{x}=\mathrm{95}: \\ $$$${y}=\mathrm{85}−\mathrm{85}\left(\frac{\mathrm{95}−\mathrm{70}}{\mathrm{70}}\right)^{\mathrm{2}} =\mathrm{74}.\mathrm{16}\:{ft}…

If-p-and-q-are-the-roots-for-the-x-2-a-1-x-a-5-2-0-The-minimum-value-of-p-2-q-2-is-

Question Number 10933 by Joel576 last updated on 02/Mar/17 $$\mathrm{If}\:\:{p}\:\:\mathrm{and}\:\:{q}\:\:\mathrm{are}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{for}\:\mathrm{the} \\ $$$${x}^{\mathrm{2}} \:−\:\left({a}\:+\:\mathrm{1}\right){x}\:+\:\left(−{a}\:−\:\frac{\mathrm{5}}{\mathrm{2}}\right)\:=\:\mathrm{0} \\ $$$$\mathrm{The}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\:{p}^{\mathrm{2}\:} +\:{q}^{\mathrm{2}} \:\:\mathrm{is}\:… \\ $$ Answered by ridwan balatif last updated…