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find the min value of 4sin2θ+9cosec2θ ...
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Not a dbt. In triangle ABC, BC is of unit length. Given sin\frac{A}{2}=x_1 , sin\frac{B}{2}=x_2 , cos \frac{B}{2}=x_4 & cos \frac{A}{2}=x_3 . Also Given that \left(\frac{x_1}{x_2} \right)^{2007}=\left(\frac{x_3}{x_4} \right)^ ...
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Solve tan-1+ 2cot-1x=2Ï€/3 ...
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solve the equation @=tan-1 (2tan2@) - 1/2 sin-1(3sin2@)/(5+4cos2@) ...
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Solve: (cosx)sin2x - (3/2)sinx + 1/2 = 1 ...
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Cosec x - Sin x =m Sec x - Cos x =n Please Solve It In Detail !! ...
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Prove that sin 10°.sin 30°.sin 50°.sin 70°=1/16 ...
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The number of solutions of the equation in the interval [-2Ï€,2Ï€] 2Cosx=/Sinx/ is _____ the answer is 8 bt i am getting 4.....can sumbody plzz give a graphical solution??? { /. / refers to modulus} ...
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S=Σn=1∞tan-11/(2n+21-n) (n ---1 to infinity) Find S. ANS.Π/4 ...
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Given,[cos-1sin-1tan-1x]=1 []=greatest integer function Then prove x lies in interval (tan sin cos2,tan sin cos 1] ...
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A line through the point A (2, 0) which makes an angle of 30º with the positive direction of x-axis is rotated about A in clockwise direction through an angle 15º. Then the equation of the straight line in the new position ...
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f(x) = x + | x | is continuous for (A) x∈(−∞,∞) (B) x∈(−∞,∞) −{0} (C) only x > 0 (D) no value of x ...
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The equation 3 sin x + cos x = 4 has (A) only one solution (B) two solutions (C) infinitely many solutions (D) no solution ...
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If ABCD is cyclic quadrilateral, show that AC . BD = AB . CD + BC . AD ...
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\mathrm{f(x)}=(1+2\cos x)(1+2\cos 2x)(1+2\cos 4x)........(1+2\cos 32x) then find \mathrm{find \ \ f(\frac{2\pi}{13})} for practice ...
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If a2 , b2 , c2 in a ΔABC are in A.P. Prove that cot A, cot B and cot C are also in A.P. ...
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If 12cot^3@ - 31cosec@ + 32= 0 then find sine@ @= theta ...
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THESE ARE VERY SIMILAR TO ORIGINAL BITSAT STANDARD [ I'm serious ] Please DON'T DO these questions by ELIMINATION / SUBSTITUTION ..please give a valid reply with steps..it will be helpful to all BITSAT aspirants 1.If cos α = ...
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i)Prove that cos2A + cos2(A+ pie/3) + cos2(A- pie/3) = 3/2 ii)If sin4x/a + cos4x/b = 1/(a+b),Prove that sin12x/a5 + cos12x/b5 = 1/(a+b)5. iii)Prove that (1+cosA+sinA)/(1+cosA-sinA)=(1+sinA)/cosA. iv)If tanx=k,find sinx/cos3x ...
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Sinθ+Cosθ=1 then the minimun value of (1+Cosecθ) (1+Secθ) is ................. ...
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2 sin x= mod x + a find a such that there is no real root ...
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Problem 4. Let ABC be a triangle with AB = AC. The angle bisectors of angle CAB and angle ABC meet the sides BC and CA at D and E, respectively. Let K be the incentre of triangle ADC. Suppose that angle BEK = 45degree. Find a ...
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if 2 cosA=cosB+cos3A & 2 sinA=sinB-sin3B,show that sin(A-B)=±1/3 ...
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1)SOLUTION SET OF (3/5)x=(x -x2-9) is? ...
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range of f(x)=cosx + cos2x is ...
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cos(a+b)=4/5 &cps(a-b)=5/13 & a,b lies in b/w 0o to 45o ,find the value of tan2a. ...
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given S = tan-1(1/3)+tan-1(1/5)+tan-1(1/7)+..........+tan-1(1/(2n-1)) if S = Î /4 find n ...