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Tan^2 theta-sin^2 theta=tan^2 theta sin^2theta- · The given expression =sin^2thetacos^2thetatan^2theta =(cos^2thetasin^2theta)sin^2theta/cos^2theta Now recalling the identities (cos^2thetasin^2theta)=cos2theta sin^2theta=1/2(1cos2theta) cos^2theta=1/2(1cos2theta) The given expression becomes =cos2theta(1/2(1cos2theta))/(1/2(1cos2theta)) =(cos2thetacos^2Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutor
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I presume you want to simplify the expression (I'm using because theta doesn't render) First thing to do is realize that since , Now we can write Factoring out a Because , so Hope that was what you were · Beautiful blogs on basic concepts and formulas of mathematics, maths assignments for board classes, maths study material for 8th, 9th, 10th, 11th, 12th classes lesson plan for 10th and 12th, maths riddles and maths magic, · How do you solve #sec^2(theta) sin^2(theta) cos^2(theta) tan^2(theta) = 0#?
Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutor · 50 points Simplify the expression sin^2 theta/csctheta tan^2theta a sin^2 theta bsin cos^2 theta csec^2 theta d csc theta`(sin^2 theta 1/(1 tan^2 theta ))` = `( sin^2 theta 1/(sec^2 theta))` =`( sin^2 theta cos^2 theta)` =1
If `2 sin^2 theta 5sin theta 3 = 0` then find the value of `tan^4 theta tan^2 theta 9` If `2 sin^2 theta 5sin theta 3 = 0` then find the value of `tan^4 theta tan^2 thetaSection Solution from a resource entitled Can we write $\sin\theta$ and $\cos\theta$ in terms of $\tan(\theta/2)$?SolutionShow Solution LHS = `tan^2 theta sin^2 theta = sin^2 theta/cos^2 theta sin^2 theta` ` ∵ tan^2 theta = sin^2 theta/cos^2 theta` `=> sin^2 theta 1/cos^2 theta 1` `sin^2 theta (1 cos^2 theta)/cos^2 theta` `=> sin^2 theta sin^2 theta/cos^2 theta = sin^2 theta tan^2 theta` = LHS = RHS Hence proved
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Prove that tan 2 θ − sin 2 θ = tan 2 θ sin 2 θ Answer L H S = tan 2 θ − sin 2 θ = cos 2 θ sin 2 θ − sin 2 θ = sin 2 θ ( sec 2 θ − 1 ) = sin 2 θ tan 2 θ = R H SSolutionShow Solution LHS= ` (1tan^2theta) (1cot^2 theta)` =`sec^2 theta cosec^2 theta (∵ sec^2 theta tan^2 theta=1 and cosec^2 cot^2 theta =1)` =`1/ (cos^2 theta sin^theta)` =` 1/ ( (1sin^2 theta ) sin^2 theta` =`1/ (sin^2thetasin^4theta)` ==RHS · `tan^(2)theta sin^(2) theta ` si equal to
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1) Find an expression equivalent to sec theta sin theta cot theta csc theta tan theta csc theta sec theta ~ sin theta 2) Find an expression equivalent to cos theta/sin theta tan theta cot theta ~ sec theta csc theta 3) Simplify (tan^2 theta Pre calculus Find cos theta and cot theta if sin =1/4 and tan theta trigCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history · If tan theta = 3/4 then find the value of cos 2 theta sin 2 theta
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· For the form ##A x^{2}B x yC y^{2}D xE yF=0## I need to carry out a rotation to remove the xy term using ##\tan 2 \theta=\frac{B}{AC}## (see specifics in spoiler below) In doing so I am having difficulty in determining the value of ##\sin \theta## and ##\cos \theta##SolutionShow Solution Given θ = 30° (1) To veriy `sin 2theta = (2 tan theta)/ (1 tan^2 theta)` (2) `sin 2 theta = sin 2 xx 30` = sin 60 `= sqrt3/2` · I get that if $\sin(\theta)$ and $\tan(\theta)$ are equal to $\theta$, $\sin^2(\theta)\tan(\theta)$ is $\theta^2\theta$, which is $\theta^3$, but $\sin(\theta)$ and $\tan(\theta)$ are not just magically equal to their angles My next best guess is that it's saying because $\sin^2(\theta)\tan(\theta)$ will always be less that one, then sin and tan are equal to
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Trigonometry Trigonometric Identities and Equations Solving Trigonometric Equations 1 Answer2 tan theta /(1 tan^2 theta) = sin 2theta Hi Charmaine, In a problem like this when I don't immediately see something useful I write everything in terms of sines and cosines and then see if I can manipulate both sides to make them equal In this case replace tan(θ) by sin(θ) /cos(θ) and sin(2 θ) by 2 sin(θ) cos(θ) Penny Math Central is supported by the University of Regina and The · cos 2 theta/(1tan theta)sin 3 theta/(sin theta cos theta)=1sin theta cos theta Maths Introduction to Trigonometry
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Simplify tan^2 theta/sin^2 theta= sin^2/cos^2/sin^2 Invert the denominator and cancel= sin^2/cos^2= 1/cos^2 = sec^2(thetaQuestion tan^2(theta)sin^2(theta) / tan^2(theta)sin^2(theta) Answer by solver() (Show Source) You can put this solution on YOUR website!It is given (\tan \theta 1) (\sin^² \theta 3\cos^² \theta)=0, find the possible values of \tan \theta It is given (tanθ 1)(sin² θ −3cos² θ)= 0, find the possible values of tanθ https//mathstackexchangecom/questions//itisgiventantheta1sin%C2%B2theta3cos%C2%B2theta0findthepossib I am not exactly sure why people are
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Notice that the left side expresses the expansion of sine of double angle, hence the given identity `(2 tan theta)/(1 tan^2 theta ) = sin 2 theta ` is checked Approved by eNotes Editorial TeamFree math lessons and math homework help from basic math to algebra, geometry and beyond Students, teachers, parents, and everyone can find solutions to their math problems instantlyFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutor
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