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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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To prove the equation \[ \frac{x}{1-x^2} + \frac{y}{1-y^2} + \frac{z}{1-z^2} = \frac{4xyz}{(1-x^2)(1-y^2)(1-z^2)} \] given that \(xy + yz + xz = 1\), we can follow these steps: ...
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AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Section - J (Akash Challengers Question)
  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...

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  2. If cos^(2009)x(1) + cos^(2009)x(2) + cos^(2009)x(3) + ………. +cos^(2009)...

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  3. If a cos^(3) alpha+3a cos alpha sin^(2) alpha=m and a sin^(3) alpha+3a...

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  4. If alpha satisfies 15 sin^(4)alpha + 10 cos^(4)alpha=6, then find the ...

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  5. If A= tan27theta - tantheta and B= (sintheta)/(cos 3theta) +(sin 3thet...

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  6. If A=sqrt(3) cot 20^(@) - 4 cos20^(@) and B= sin12^(@) sin48^(@) sin54...

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  7. If tan alpha = 1/sqrt(x(x^2+x+1)),tan beta=sqrtx/sqrt(x^2+x+1) and ...

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  8. The number of values of x lying in [-pi, pi] and satisfying 2sin^2the...

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  9. The number of solutions of the equation sinx.cosx(cosx-sinx)^(2). (sin...

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  10. The number of solutions of the equation sin^(5)theta + 1/(sintheta) = ...

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  11. The number of solutions of x in the interval [-pi, pi] of the equation...

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  12. The general solution of the equation tan(x+20^@)tan(x-4 0^(@))=tan(x-...

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  13. Let x in [0,2pi] The curve y=secx tanx +2tanx - sec x and the line y=2...

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  14. Let p (x) be a polynomial with real coefficient and p (x)=x^(2)+2x+1. ...

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  15. Let three sets be defined as A={x|cos2x + cosx+1=0} B={x|cos2x + 3...

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  16. The number of solutions of the equation 2^|x|=1+2|cosx| is

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  17. If the equation 1 +sin^2 xtheta= costheta has a non-zero solution in t...

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