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Author: Tinku Tara

Reported-Issues-text-extends-to-infinity-problem-seen-Will-fix-autosave-when-switching-app-this-is-already-present-so-if-you-answer-a-phone-call-or-switch-the-post-should-remain-

Question Number 132620 by Tinku Tara last updated on 15/Feb/21 $$\mathrm{Reported}\:\mathrm{Issues} \\ $$$$\bullet\:\mathrm{text}\:\mathrm{extends}\:\mathrm{to}\:\mathrm{infinity} \\ $$$$\:\:\:\mathrm{problem}\:\mathrm{seen}.\:\mathrm{Will}\:\mathrm{fix}. \\ $$$$\bullet\:\mathrm{autosave}\:\mathrm{when}\:\mathrm{switching}\:\mathrm{app}. \\ $$$$\:\:\:\:\mathrm{this}\:\mathrm{is}\:\mathrm{already}\:\mathrm{present}\:\mathrm{so}\:\mathrm{if}\:\mathrm{you} \\ $$$$\:\:\:\:\mathrm{answer}\:\mathrm{a}\:\mathrm{phone}\:\mathrm{call}\:\mathrm{or}\:\mathrm{switch} \\ $$$$\:\:\:\:\mathrm{the}\:\mathrm{post}\:\mathrm{should}\:\mathrm{remain}.\: \\ $$$$\:\:\:\:\mathrm{will}\:\mathrm{check}\:\mathrm{again}\:\mathrm{and}\:\mathrm{address}.…

CosA-CosB-CosC-1-4Cos-B-C-2-Cos-C-A-2-Cos-A-B-2-1-4Cos-A-4-Cos-B-4-Cos-C-4-prove-that-if-A-B-C-

Question Number 67083 by lalitchand last updated on 22/Aug/19 $$\mathrm{CosA}+\mathrm{CosB}+\mathrm{CosC}=\mathrm{1}+\mathrm{4Cos}\left(\frac{\mathrm{B}+\mathrm{C}}{\mathrm{2}}\right).\mathrm{Cos}\left(\frac{\mathrm{C}+\mathrm{A}}{\mathrm{2}}\right).\mathrm{Cos}\left(\frac{\mathrm{A}+\mathrm{B}}{\mathrm{2}}\right)=\mathrm{1}+\mathrm{4Cos}\left(\frac{\Pi−\mathrm{A}}{\mathrm{4}}\right).\mathrm{Cos}\left(\frac{\Pi−\mathrm{B}}{\mathrm{4}}\right).\mathrm{Cos}\left(\frac{\Pi−\mathrm{C}}{\mathrm{4}}\right) \\ $$$$\mathrm{prove}\:\mathrm{that}\:\mathrm{if}\:\mathrm{A}+\mathrm{B}+\mathrm{C}=\Pi \\ $$ Answered by Tanmay chaudhury last updated on 23/Aug/19 $${LHS} \\ $$$$\mathrm{2}{cos}\left(\frac{{A}+{B}}{\mathrm{2}}\right){cos}\left(\frac{{A}−{B}}{\mathrm{2}}\right)+\mathrm{1}−\mathrm{2}{sin}^{\mathrm{2}}…

x-2-0-

Question Number 1545 by x-2 last updated on 17/Aug/15 $${x}−\mathrm{2}=\mathrm{0} \\ $$ Answered by 123456 last updated on 17/Aug/15 $${x}−\mathrm{2}=\mathrm{0} \\ $$$${x}−\mathrm{2}+\mathrm{2}=\mathrm{0}+\mathrm{2} \\ $$$${x}=\mathrm{2} \\…

sin-1-xdx-

Question Number 132613 by aurpeyz last updated on 15/Feb/21 $$\int{sin}^{−\mathrm{1}} {xdx} \\ $$ Answered by Dwaipayan Shikari last updated on 15/Feb/21 $${xsin}^{−\mathrm{1}} {x}−\int\frac{{x}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}{dx} \\…

Let-a-b-R-Show-that-a-b-a-b-

Question Number 1543 by 112358 last updated on 17/Aug/15 $${Let}\:{a},\:{b}\in\mathbb{R}.\:{Show}\:{that}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mid\mid{a}\mid−\mid{b}\mid\mid\leqslant\mid{a}−{b}\mid. \\ $$ Answered by Rasheed Soomro last updated on 18/Aug/15 $$\boldsymbol{\mathrm{Alternative}}\:\boldsymbol{\mathrm{way}}\:,\:\boldsymbol{\mathrm{technically}}\:\boldsymbol{\mathrm{simpler}}. \\ $$$$\mid\mid{a}\mid−\mid{b}\mid\mid\leqslant\mid{a}−{b}\mid………………….\left(\boldsymbol{\mathrm{I}}\right)…

Determine-three-complex-numbers-such-that-2-but-2-2-but-2-2-but-2-

Question Number 1540 by Rasheed Soomro last updated on 17/Aug/15 $$\mathrm{Determine}\:\mathrm{three}\:\mathrm{complex}\:\mathrm{numbers}\:\alpha\:,\:\beta\:,\gamma\:\:\mathrm{such}\:\mathrm{that} \\ $$$$\alpha=\beta^{\:\mathrm{2}} \:\:\:\:\:\:\:{but}\:\:\:\:\beta\:\neq\:\alpha^{\:\mathrm{2}} \\ $$$$\beta\:=\:\gamma^{\:\mathrm{2}} \:\:\:\:\:\:{but}\:\:\:\:\:\gamma\:\neq\:\beta^{\:\mathrm{2}} \\ $$$$\gamma\:=\:\alpha^{\:\mathrm{2}\:} \:\:\:\:\:{but}\:\:\:\:\:\alpha\:\neq\:\gamma^{\:\mathrm{2}} \\ $$ Answered by 123456…