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If cosecA+secA=cosecB+secB,prove that tanAtanB= cot(A+B)/2 . ...
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If tan θ/2 = √1-e/√1+e tan α/2 ,then cos α=? Plz show the steps also along with the solution.... ...
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What is the sum of the roots of the equation (x+1) = 2log2(2x + 3) - 2log4(1980 - 2-x)?? ...
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What is the value of (1+cos π/9 )(1+cos 3π/9 )(1+cos 5π/9 )(1+cos 7π/9 ) ...
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Σ cot-12n2 n→∞ ...
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if α, β, γ are connected by the relation 2 tan2α tan2β tan2γ + tan2α tan2β + tan2β tan2γ +tan2γ tan2α =1, then the value of cos2α +cos2β +cos2γ is ________ answer: 1 ...
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tanθ+tan(θ+60)+tan(θ-60)=k tan 3θ,where k is equal to: a)1 b)2 c)3 d)4 ...
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Let θ[0,45] and t1=tanθtanθ, t2=tanθcotθ, t3=cotθtanθ, t4=cotθcotθ, then: a)t1>t2>t3>t4 b)t4>t3>t1>t2 c)t3>t1>t2>t4 d)t2>t3>t1>t4 ...
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1.Prove that sin(3x) = 4sinx.sin2x.sin4x 2.Solve : cosx(1+sin x/4 - 2cosx) + sinx (cosx/4 - 2sinx) = 0 3.solve : cos 3x + cos 2x = sin 3x/2 + sin x/2 , x=(0,pi) 4.solve for x and y : cos2x + cosx.cosy + cos2y = 0 ...
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What is the minimum value of 9sec2x + 10cosec2x for all x belongs to R?? ...
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Prove: sinx/cos3x + sin3x/cos9x + sin9x/cos27x = 1/2 (tan27x-tanx) ...
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If cos π/7 , cos 3π/7 , cos 4π/7 are the roots of the equation 8x3-4x2-4x+1 = 0 then the What are the values of expressions sin π/14 sin 3π/14 sin 5π/14 and cos π/14 cos 3π/14 cos 5π/14 ???? ...
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in any triangle ABC, the value of \sum{} a(b2+c2) cosA is 1) 3 abc 2)3(a2+b2+c2) 3)a2+b2+c2 4)abc answer: 1)3 abc ...
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IF K1 = tan 27θ - tan θ and K2 = sin θ/cos 3θ + sin 3θ/cos 9θ + sin 9θ/cos 27θ , then 1. K1 = 2K2 2. K1 = K2 + 4 3. K1 = K2 4. none of these ...
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Prove that :- \sum_{r=1}^{n}{tan\ r\ \alpha }\ .\ tan\ (r+1)\ \alpha = cot\ \alpha \ . \ tan\ (n+1)\ \alpha\ - n - 1 ...
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please tell me any good online book for trignometry ...
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1.If A+B+C = ∠and A,B,C belongs to (0,âˆ/2) then prove that secA +secB +secC≥6 2.Prove that sinx.sin2x.sin3x <9/16 3.Prove that in triangle ΔABC cosec A/2 + cosec B/2 +cosec C/2 ≥ 6 4.Prove that in triangle ΔABC ...
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1.prove that sinx.siny.sin(x-y) + siny.sinz.sin(y-z) + sinz.sinx.sin(z-x) + sin(x-y).sin(y-z).sin(z-x) = 0 2.f(α,β)= cos4α/cos2β + sin4α/sin2β then prove that f(α,β) = 1 3.cosA = tanB, cosB = tanC and cosC= tanA then ...
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help me out on these ones.... 1)The perimeter of the sector of a cricle is equal to the circumference of the semi circle of the same radius.Find in circular measure the angle subtended at the centre by bounding radii of the s ...
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help me out on these ones.... 1) The greastest angle of a cyclic quadilateral is three times the least angle and the other two angles are in ratio 4:5.Find the angles in circular measure? 2)If the circumference of circle be d ...
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1.Prove that sin2nx + cos2nx ≤ 1 for all x and n≥1 ...
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2.A + B + C = 180 prove that cos A/2 + cos B/2 + cos C/2 = 4cos(âˆ-A)/4 . cos(âˆ-B)/4 . cos(âˆ-C)/4 ...
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Prove that sin 27°=1/4(√3+√5-√3-√5) ...
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If cos(α-- 3θ) cos3θ =sin(α-- 3θ) sin3θ =m prove that cos α=2--m^2 m. TRIGNOMETRY ...
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If m tan(θ-30)=n tan(θ+120), then m+n/2(m-n) is equal to: a)tan2θ b)cos2θ c)sin2θ d)cot2θ ...
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Find the value of: \sqrt 3 \csc 20^{\circ} - \sec 20^{\circ} ...
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cosα+cos2α+p , sinα+sin2α=q then eliminate α ...
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sinθ+cosφ=1/√2 and cosθ+sinφ=√2/3 then find the value of sin(θ+φ) and tan (θ-φ)/2 ...
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sin9°=1/4(√3+√5-√5-√5) ...
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eliminate θ from atanθ +bcot2θ = c acotθ - btan2θ = c ...