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If θ+φ=αAnd tanθ=ktanφThen prove sinα=sin(θ-φ)(k+1)/(k-1) ...
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prove : 1/4(a^2cotA +b^2cotB +c^2cotC) = S ...
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If Tan A/2 = (Tan B/2)3 and Tan B = 2 Tan C then find (A + B)\C. ...
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if α,β are two different values of θ lying between 0 and 2Πwhich satisfy the equation 6 cos θ + 8 sin θ = 9,then find the value of sin(α + β). ...
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If sin α + sin β = a and cos α + cos β = b,then prove that sin(α + β) = (2ab/a2 + b2) ...
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If angle θ is divided into two parts such that the tangent of one part is λ times the tangent of the other, and α is their difference,show that sinθ = (λ+1/λ-1)sinα ...
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Can anyone tell me where I can download the solutions to R.D. Sharma in pdf format? Thanks in advance. Please post the complete link. ...
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Proof that (tan5A+tan3A)/(tan5A-tan3A)=4cos4Acos2A ...
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If cosθ=ncos(θ+2α)then show that (n+1)tan(θ+α)=(n-1)cotα ...
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Prove that : CotA + Cot(60+a) - Cot(60 -a) = 3Cot3A ...
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Prove that: TanA + Tan(60+a) - Tan(60 -a) = 3Tan3A ...
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tan-1(tan 7) = a:7-2Î b:2Î -7 c:7 Please give the reason behind the answer. ...
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the positive values of a for which the equation [x+a]=sin(Ï€x/2) will have no solution is,where [.] denotes greatest integer function- a) (0,1); b)(1,2);c) (0,2);d) NOT. ...
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1)If sin-1x + tan -1x = , then 2x2 + 1= 2)2 sin -1x = cos-1 (1 -2x2) is true for a. -1<=x<=1 b.-1<=x<=0 c.0<=x<=1 d.None of these 3)7)If sin-1x+sin-1y=2pi/3, cos-1x–cos-1y=pi/3, the number of ordered pairs ...
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1. *Image* 2. *Image* 3. *Image* 4. *Image* 5. *Image* 6. *Image* ...
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α ≤ sin-1x + tan-1x + cos-1x ≤ β then a) α =0, β = π b) α =0, β = ~~frac{pi }{2} c) α = frac{pi }{2} , β =π d) None of these ...
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If cos(α-β)+cos(β-γ)+cos(γ-α)= -3/2 , then p.t. → cosα +cosβ +cosγ =sinα +sinβ +sinγ =0 . ...
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If tan(inverse)(x+2/x)-tan(inverse)4/x-tan(inverse)(x-2/x)=0 then x=............ y=........... (M.L.Khanna Page 464 Problem No.37a) ...
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simplify plz:- tan-1( (3a2x-x3)/a(a2-3x2) ) ...
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Write the following function in the simplest form :- tan_1√ 1-x/1+x ...
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Prove that tan 8θ -tan 6θ- tan 2θ = tan 8θ tan 6θtan 2θ ...
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Prove that sin2θ=(x+y)2/4xy possible for real values of x and y only when x is equal to y. x not equal to 0. ...
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If tan2θ = 1-k2,s.t. sec2θ+tan3θ cosecθ = (2-k2)3/2 ...
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A+B+C= Î /2 p.t. +cos2A+cos2B+cos2C=2(1+sinAsinBsinC) ...
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cosec θ = cot θ + √3 ...
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If sin A,sin B,sin C are in A.P. prove that the altitudes are in H.P . ...
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If a,b,c are in H.P.. prove that : sin2 A/2 ,sin2 B/2 and sin2 C/2 ARE ALSO IN h.p. ...