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Category: Trigonometry

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}\:\:…

Q-value-of-tan-3-4-

Question Number 12603 by ashok kumar last updated on 26/Apr/17 $${Q}.\:\mathrm{value}\:\mathrm{of}\:\:\theta\:=\:\mathrm{tan}\:\mathrm{3}/\mathrm{4}. \\ $$ Answered by mrW1 last updated on 26/Apr/17 $${what}\:{is}\:{the}\:{concrete}\:{question}? \\ $$$$ \\ $$$$\theta=\mathrm{tan}\:\mathrm{3}/\mathrm{4}=\mathrm{0}.\mathrm{931}…

Find-the-area-generated-when-the-curve-x-a-sin-1-cos-0-pi-rotates-about-x-axis-through-2pi-radian-Note-1-cos-2-sin-2-2-

Question Number 12577 by tawa last updated on 26/Apr/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{area}\:\mathrm{generated}\:\mathrm{when}\:\mathrm{the}\:\mathrm{curve}\:\:\mathrm{x}\:=\:\mathrm{a}\left(\theta\:−\:\mathrm{sin}\theta\right),\:\left(\mathrm{1}\:−\:\mathrm{cos}\theta\right) \\ $$$$\theta\:=\:\mathrm{0},\:\theta\:=\:\pi\:\:\mathrm{rotates}\:\mathrm{about}\:\mathrm{x}−\mathrm{axis}\:\mathrm{through}\:\mathrm{2}\pi\:\mathrm{radian}. \\ $$$$\mathrm{Note}:\:\mathrm{1}\:−\:\mathrm{cos}\theta\:=\:\mathrm{2}\:\mathrm{sin}^{\mathrm{2}} \left(\frac{\theta}{\mathrm{2}}\right) \\ $$ Answered by mrW1 last updated on 26/Apr/17 $${x}={a}\left(\theta−\mathrm{sin}\:\theta\right)…