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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 a,b,c are in H.P.. prove that : sin2 A/2 ,sin2 B/2 and sin2 C/2 ARE ALSO IN h.p. ...
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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 cos A + 2 cos B/cos A + 2 cos C = sin B/sin C then prove that the triangle is isoceles or rt. angled. ...
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16sin22x + 16cos22x = 10 find the number of solutions between (0,2pi) ...
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cosx + cos2x + cos3x + cos4x=2 find the general solutions ...
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1 )find general solution of 1+ sin3x + cos3x= 3/2sin2x 2)Solve √3cosx - 3sinx= 4sin2xcos3x 3) Solve 3√3sin3x + cos3x + 3√3sinx + cos = 1 ...
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32tan8θ=2cos2α+3cosα 3cos2θ=1 find the general solution for α. ...
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Sin8x+Cos8x=17/32. find the general solution for x. ...
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Cot 2x=Sin x+Cos x find the general solution of x. ...
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cos x-sin 3x=cos2x find the general solution for x. ...
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p.t. tan 70°=tan 20°+2tan40°+4tan 10° ...
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if x be real,prove that x^2 -2xcosA +1 x^2 -2xcosB +1 lies between sin^2(A/2)/sin^2(B/2) AND cos^2(A/2)/cos^2(B/2). ...
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Let H be the orthocentre of an acute angled triangle ABC and O be its circumcenter.Then HA+HB+HC A.is equal to HO B.is equal to 3HO C.is equal to 2HO D.is not a scalar multiple of HO in general ...
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\hspace{-16}\bf{\prod_{m=1}^{n-1}\sin \left(\frac{m\cdot \pi}{n}\right)=} ...
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try to Prove cosec (Ï€/7) = cosec(2Ï€/7) + cosec(3Ï€/7) ...
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prove.. 1.cos2θcosθ/2-cos3θcos9θ/2=sin5θsin5θ/2 2.sinAsin(A+2B)-sinBSin(B+2A)=sin(A-B)sin(A+B) ...
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Given sin(θ+α)/cos(θ-α)=1-m/1+m Prove that tan(π/4-θ)tan(π/4-α)=m ...
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1.if tanx + tan(x+π/3) +tan(x+2π/3)=3 prove , 3tanx - tan3x/1 - 3tan2x =1 2.if α,β are two different values of θ when α≠β,where 0< α,β <2π which satisfy the equation 6cosθ + 8sinθ =9 find the value of sin( ...
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tan 8θ - tan 6θ - tan 2θ =tan8θtan6θtan2θ ...
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advance part 2; ques no. 56.. The least value of k for which 4/sinx + 1/1-sinx = k has a solution between ( 0, π/2 ) . ...
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Prove that sin (nA) = cos n A (n C1 tan A - n C3 tan 3 A + n C5 tan 5 A -............) ...
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sin-1x+sin-1y=2Ï€/3.....then the value of x and y are ???? ...
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tan-1x,tan-1y,tan-1z..are in A.P and x,y,z are also in A.P ( y being not equal to 0,1 or -1)then ...... a)x,y,z are in G.P b)x=2y=z c)N.O.T ...
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Compute the maximum area of a rectangle which can be inscribed in a triangle of area M. ...
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If cos θ + cos2 θ = 1, then sin12 θ + 3 sin10 θ + 3 sin8 θ + sin6 θ + 2 sin4 θ + 2 sin2 θ – 2 = (A) 0 (B) 1 (C) 2 (D) 3 Thanx in advance... ...