If x y+y z+x z=1,then prove that x/(1-...

If `x y+y z+x z=1`,then prove that `x/(1-x^2)+y/(1-y^2)+z/(1-z^2)=(4x y z)/((1-x^2)(1-y^2)(1-z^2)`

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If x+y+z=x y z prove that (2x)/(1-x^2)+(2y)/(1-y^2)+(2z)/(1-z^2)=(2x)/(1-x^2)(2y)/(1-y^2)(2z)/(1-z^2)dot

If x+y+z=xzy , prove that : x(1-y^2) (1-z^2) + y(1-z^2) (1-x^2) + z (1-x^2) (1-y^2) = 4xyz .

If x+y+z=xyz , prove by trignometry that: (2x)/(1-x^(2))+(2y)/(1-y^(2))+(2z)/(1-z^(2))=(2x)/(1-x^(2)).(2y)/(1-y^(2)).(2z)/(1-z^(2))

If x+y+z=xyz , prove that: a) (3x-x^(3))/(1-3x^(2))+(3y-y^(3))/(1-3y^(2))+(3z-z^(3))/(1-3z^(2))= (3x-x^(3))/(1-3x^(2)).(3y-y^(3))/(1-3y^(2)).(3z-z^(3))/(1-3z^(2)) b) (x+y)/(1-xy) + (y+z)/(1-yz)+(z+x)/(1-zx)= (x+y)/(1-xy) .(y+z)/(1-yz).(z+x)/(1-zx)

If x,y,z gt 0 and x + y + z = 1, the prove that (2x)/(1 - x) + (2y)/(1 - y) + (2z)/(1 - z) ge 3 .

Prove that : |{:(1,x,yz),(1,y,zx),(1,z,xy):}|=(x-y)(y-z)(z-x)

If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi , prove that: xsqrt(1-x^2)+ysqrt(1-y^2)+zsqrt(1-z^2)=2x y z

If sin −1 x+sin −1 y+sin −1 z=π, prove that x 1−x 2 +y 1−y 2 +z 1−z 2 =2xyz.

Prove that : |{:(1,x,x^(3)),(1,y,y^(3)),(1,z,z^(3)):}| =(x-y)(y-z)(z-x)(x+y+z)

Prove that : =|{:(1,1,1),(x,y,z),(x^(2),y^(2),z^(2)):}|=(x-y)(y-z)(z-x)

VMC MODULES ENGLISH-TRIGONOMETRIC IDENTITIES AND EQUATIONS -LEVEL -2

The minimum and maximum values of expression y=costheta(sintheta+sqrt(...
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If x+y+z=x y z prove that (2x)/(1-x^2)+(2y)/(1-y^2)+(2z)/(1-z^2)=(2x)/...
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If x y+y z+x z=1,then prove that x/(1-x^2)+y/(1-y^2)+z/(1-z^2)=(4x y...
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If y+cosx = sinx has a real solution , then :
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If 2 cos x lt sqrt(3) and x in [-pi, pi] , then find the solution set...
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Sum of the roots of the equation x^2+7x+10=0
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Prove that: (cos6theta+6cos4theta+15 cos2theta+10)/(cos5theta+5cos3the...
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Find the number of solution of the equation e^(sinx)-e^(-sinx)-4=0
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The value of x , 0 le x le (pi)/2 which satisfy the equation 81^( si...
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The number of real solution of the equation. sin(e^(x))=5^(x)+5^(-x) ...
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Let 2 sin^(2)x + 3 sin x -2 gt 0 and x^(2)-x -2 lt 0 ( x is measured ...
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The number of points of intersection of two curves y=2sinxa n dy=5x^2+...
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The number of all the possible triplets (a1,a2,a3) such that a1+a2cos(...
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The equation "sin"^(4) x - (k +2)"sin"^(2) x - (k + 3) = 0 possesses a...
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The solution of equation sin^(50)x-cos^(50)x=1 can be (n in I)
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(sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2th...
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In interval [-(pi)/(2),(pi)/(2)], the equation log(sin theta )( cos^(...
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Prove tanx+ tany+ tanz=tan xtany tanz if x+y+z = pi
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If F(x) = sinx+cosx, then the most general solution of F(x) = [F((pi)/...
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If max {5 sin theta + 3 sin ( theta - alpha )}=7 , then the set of pos...
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