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Prove that y=(4sintheta)/((2+costheta))-...

Prove that `y=(4sintheta)/((2+costheta))-theta` is an increasing function in `[0,pi/2]dot`

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Prove that y=(4sin theta)/((2+cos theta))-theta is an increasing function of theta in [0,(pi)/(2)]

Prove that y=(4sin theta)/(2+cos theta)-theta is an increasing function of theta in[0,(pi)/(2)]

Prove that y=(4sin theta)/((2+sin theta))-theta is an increasing function of theta in [0, (pi)/(2)]

Prove that f(theta)=(4sin theta)/(2+cos theta)-theta is an increasing function of theta in [0,(pi)/(2)]

Prove that sintheta/(1-costheta)=cosectheta+cot theta

Prove that : (sintheta)/(1+costheta)+(1+costheta)/(sintheta)=2"cosec"theta

Prove that sintheta (1 + Costheta) is the greatest at theta=pi/3

Prove that : (1+sintheta)/(costheta)+(costheta)/(1+sintheta)=2sectheta

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Prove that (Sintheta)/(1+Costheta)+(1+Costheta)/(Sintheta)=2"Cosec"theta

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If x=a\ (theta-sintheta),\ y=a\ (1+costheta),\ \ \ find (d^2\ y)/(dx^...

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  2. If the radius of a sphere is measured as 9 cm with an error of 0.03...

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  3. Prove that y=(4sintheta)/((2+costheta))-theta is an increasing func...

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  4. Evaluate: int(sinx+cosx)/(9+16sin2x)\ dx

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  5. Show that the total surface area of a closed cuboid with square bas...

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  6. Show that the height of the cylinder of maximum volume that can be ...

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  7. If y=log\ [x+sqrt(x^2+1)] , prove that (x^2+1)(d^2\ y)/(dx^2)+x(dy)/(d...

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  8. Prove that: d/(dx)[x/2\ sqrt(a^2-x^2)+(a^2)/2sin^(-1)(x/a)]=sqrt(a^2-...

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  9. Find the vector equation of the plane which contains the line of in...

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  10. Find the coordinates of the point, where the line (x-2)/3=(y+1)/4=(z-2...

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  11. Show that the function f(x)=2x-|x| is continuous but not differenti...

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  12. Differentiate tan^(-1)((sqrt(1+x^2-1))/x) with respect to tan^(-1)x...

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  13. Let A = R × R and * be the binary operation on A defined by (a, b) ...

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  14. Consider f: R rarr [-5,oo) given by f(x)=9x^2+6x-5 . Show that f is...

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  15. Evaluate: int(pi/6)^(pi/3)(dx)/(1+sqrt(tanx))

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  16. Find the vector equation of the line passing through the point (1,2...

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  17. Find the area of the region bounded by the parabola y=x^2 and y=|x| .

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  18. Find the particular solution of the differential equation(tan^(-1)y-x)...

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  19. Using elementary transformations, find the inverse of the matrix : [...

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  20. If vec a= hat a= hat i-\ hat j+7 hat k and vec b=5 hat j-\ hat j+l...

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