Menu Close

Category: Trigonometry

if-cos-4-x-cos-2-y-sin-4-x-sin-2-y-1then-find-cos-4-y-cos-2-x-sin-4-y-sin-2-x-

Question Number 143856 by gsk2684 last updated on 19/Jun/21 $$\mathrm{if}\:\frac{\mathrm{cos}^{\mathrm{4}} \mathrm{x}}{\mathrm{cos}^{\mathrm{2}} \mathrm{y}}+\frac{\mathrm{sin}^{\mathrm{4}} \mathrm{x}}{\mathrm{sin}^{\mathrm{2}} \mathrm{y}}=\mathrm{1then}\:\mathrm{find}\: \\ $$$$\:\frac{\mathrm{cos}^{\mathrm{4}} \mathrm{y}}{\mathrm{cos}^{\mathrm{2}} \mathrm{x}}+\frac{\mathrm{sin}^{\mathrm{4}} \mathrm{y}}{\mathrm{sin}^{\mathrm{2}} \mathrm{x}} \\ $$ Commented by justtry…

if-cos-4-sec-2-1-2-sin-4-cosec-2-are-in-A-P-then-cos-8-sec-6-1-2-sin-8-cosec-6-are-in-which-progression-

Question Number 143857 by gsk2684 last updated on 19/Jun/21 $$\mathrm{if}\:\mathrm{cos}^{\mathrm{4}} \theta\mathrm{sec}\:^{\mathrm{2}} \alpha,\:\frac{\mathrm{1}}{\mathrm{2}},\:\mathrm{sin}^{\mathrm{4}} \theta\mathrm{cosec}^{\mathrm{2}} \alpha\: \\ $$$$\mathrm{are}\:\mathrm{in}\:\mathrm{A}.\mathrm{P}.\:\mathrm{then} \\ $$$$\:\mathrm{cos}^{\mathrm{8}} \theta\mathrm{sec}^{\mathrm{6}} \alpha,\:\frac{\mathrm{1}}{\mathrm{2}},\:\mathrm{sin}^{\mathrm{8}} \theta\mathrm{cosec}^{\mathrm{6}} \alpha \\ $$$$\mathrm{are}\:\mathrm{in}\:\mathrm{which}\:\mathrm{progression}? \\…

if-A-0-B-0-A-B-3-then-find-minimum-and-maximum-of-tan-A-tan-B-

Question Number 143858 by gsk2684 last updated on 19/Jun/21 $$\mathrm{if}\:\mathrm{A}\geqslant\mathrm{0},\:\mathrm{B}\geqslant\mathrm{0},\:\mathrm{A}+\mathrm{B}=\frac{\Pi}{\mathrm{3}}\:\mathrm{then} \\ $$$$\mathrm{find}\:\mathrm{minimum}\:\mathrm{and}\:\mathrm{maximum}\: \\ $$$$\mathrm{of}\:\mathrm{tan}\:\mathrm{A}.\mathrm{tan}\:\mathrm{B}\: \\ $$ Answered by ajfour last updated on 19/Jun/21 $$\sqrt{\mathrm{3}}=\frac{{p}+{q}}{\mathrm{1}−{pq}} \\…

Show-that-3-sin2x-2cos2x-1-3sin-2-x-cos2x-2-5-2-1-tanx-

Question Number 78311 by mathocean1 last updated on 15/Jan/20 $$\mathrm{Show}\:\mathrm{that}\:\frac{\mathrm{3}+\mathrm{sin2}{x}−\mathrm{2cos2}{x}}{\mathrm{1}+\mathrm{3}{sin}^{\mathrm{2}} {x}−{cos}\mathrm{2}{x}\:}=\frac{\mathrm{2}}{\mathrm{5}}\left(\mathrm{2}+\frac{\mathrm{1}}{{tanx}}\right) \\ $$ Commented by jagoll last updated on 16/Jan/20 $$\frac{\mathrm{3}+\mathrm{2sin}\:{x}\mathrm{cos}\:{x}−\mathrm{2}\left(\mathrm{1}−\mathrm{2sin}\:^{\mathrm{2}} {x}\right)}{\mathrm{1}+\mathrm{3sin}\:^{\mathrm{2}} {x}−\left(\mathrm{1}−\mathrm{2sin}\:^{\mathrm{2}} {x}\right)}= \\…

Q-tan-1-4-3-

Question Number 12713 by ashok kumar last updated on 29/Apr/17 $$\boldsymbol{{Q}}.\:\boldsymbol{\theta}\:=\:\mathrm{tan}^{−\mathrm{1}} \:\:\mathrm{4}/\mathrm{3}\: \\ $$$$ \\ $$ Commented by prakash jain last updated on 01/May/17 $$\mathrm{agar}\:\mathrm{ye}\:\mathrm{textbook}\:\mathrm{ka}\:\mathrm{question}\:\mathrm{hai}…

prove-sin-x-y-cos-xcos-y-tan-x-tan-y-

Question Number 12688 by frank ntulah last updated on 29/Apr/17 $$\mathrm{prove}\: \\ $$$$\left(\frac{\mathrm{sin}\left(\mathrm{x}+\mathrm{y}\right)}{\mathrm{cos}\:{x}\mathrm{cos}\:{y}}\right)=\mathrm{tan}\:{x}+\mathrm{tan}\:{y} \\ $$ Answered by nume1114 last updated on 29/Apr/17 $${if}\:{you}\:{mean}: \\ $$$$\frac{\mathrm{sin}\:\left({x}+{y}\right)}{\mathrm{cos}\:{x}\mathrm{cos}\:{y}}=\mathrm{tan}\:{x}+\mathrm{tan}\:{y}\:\:…