Home
Class 12
MATHS
Find minium value of (9x^(2)sin^(2)x+4)/...

Find minium value of `(9x^(2)sin^(2)x+4)/(2sinx.x)` in the interval `0 le x le pi`.

Text Solution

AI Generated Solution

To find the minimum value of the expression \[ f(x) = \frac{9x^2 \sin^2 x + 4}{2 \sin x \cdot x} \] in the interval \(0 \leq x \leq \pi\), we can follow these steps: ...
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|32 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment section-A (Objective Type Questions (One option is correct))|49 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - J|10 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

The maximum value of f(x)=(sin2x)/(sinx+cosx) in the interval (0, (pi)/(2)) is

If 0 le x le pi/2 then

The solution set of (2"cos"x-1)(3+2"cos"x) = 0 in the interval 0 le x le 2 pi , is

The area enclosed between the curve y=sin^(2)x and y=cos^(2)x in the interval 0le x le pi is _____ sq. units.

Determine the average value of y=2x+3 in the interval 0 le x le 1 .

The number of distinct real roots of |(sinx, cosx, cosx),(cos x,sin x,cos x),(cos x,cos x,sin x)|=0 in the interval -(pi)/4 le x le (pi)/4 is

The number of distinct real roots of |(sinx, cosx, cosx),(cos x,sin x,cos x),(cos x,cos x,sin x)|=0 in the interval -(pi)/4 le x le (pi)/4 is

The number of solution of sin^(4)x-cos^(2) x sin x+2 sin^(2)x+sin x=0 in 0 le x le 3 pi is

The number of solution of sin^(4)x-cos^(2) x sin x+2 sin^(2)x+sin x=0 in 0 le x le 3 pi is

The number of distinct real roots of |(sinx, cosx, cosx),(cos x,sin x,cos x),(cos x,cos x,sin x)|=0 in the interval -(pi)/4 le x le t (pi)/4 is

AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Section - J (Akash Challengers Question)
  1. Find minium value of (9x^(2)sin^(2)x+4)/(2sinx.x) in the interval 0 le...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |