Home
Class 12
MATHS
For any acute angled DeltaABC find the m...

For any acute angled `DeltaABC` find the maximum value of `(sin A)/(A) +(sin B)/(B) +(sin C)/(C) `

Text Solution

Verified by Experts

The correct Answer is:
`(9sqrt(3))/(2pi)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-3 Part II|22 Videos
  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

If in a Delta ABC,/_C=90^(@), then the maximum value of sin A sin B is

In any Delta ABC the maximum value of (sin^(2)A+sin^(2)B+sin^(2)C) is

In any Delta ABC, find the value of sum a(sin B-s in C)

If A,B,C are the angles of a triangle then maximum value of C and sin A sin B sin C occurs when A=B=C=60^(@)

What is the value of sin(A+B)sin(A-B)+sin(B+C)sin(B-C)+sin(C+A)sin(C-A) ?

If A, B, C are angle of a triangle ABC, then the value of the determinant |(sin (A/2), sin (B/2), sin (C/2)), (sin(A+B+C), sin(B/2), cos(A/2)), (cos((A+B+C)/2), tan(A+B+C), sin (C/2))| is less than or equal to

In a DeltaABC , if a b and c are in AP ,then the value of ("sin"(A)/(2)"sin"(C)/(2))/("sin"(B)/(2)) is

In DeltaABC , right angled at B, find the value of sin A cos C + cosA sinC.

In any DeltaABC , find the value of (a^(2)sin(B-C))/(sinB+sinC)+(b^(2)sin(C-A))/(sinC+sinA)+(c^(2)sin(A-B))/(sinA+sinB)

RESONANCE-APPLICATION OF DERIVATIVES-High Level Problems (HLP)
  1. find the interval of increasing and decreasing for the function g...

    Text Solution

    |

  2. The interval to which a may belong so that the function f(x)=(1-(sqrt(...

    Text Solution

    |

  3. Find positive real numbers 'a' and 'b' such that f(x) =ax-bx^(3) has...

    Text Solution

    |

  4. For any acute angled DeltaABC find the maximum value of (sin A)/(A) +(...

    Text Solution

    |

  5. For what real values of a' and 'b' all the extrema of the function f(x...

    Text Solution

    |

  6. Find the minimum value of f(x) =8^(x) +8^(-x) -4(4^(x)+4^(-x)) , AA x ...

    Text Solution

    |

  7. Show that height of the cylinder of greatest volume which can be insc...

    Text Solution

    |

  8. Find the cosine of the angle at the vertex of an isoceles triangl...

    Text Solution

    |

  9. A tangent to the curve y=1 -x^(3) is drawn so that the abscissa x(0)...

    Text Solution

    |

  10. A cone is made from a circular sheet of radius sqrt3 by cutting out a ...

    Text Solution

    |

  11. Find the minimum distance of origin from the curve ax^(2) +2bxy+ay^(2)...

    Text Solution

    |

  12. Prove that e^x+sqrt(1+e^(2x))geq(1+x)+sqrt(2+2x+x^2)AAx in R

    Text Solution

    |

  13. Find which of the two larger en (1+x) " or " (tan^(-1)x)/(1+x).

    Text Solution

    |

  14. Let f'(sin x) lt 0 and f''(sin x) gt 0 AA x in (0, pi/2) and g (x) =...

    Text Solution

    |

  15. Let f(x)a n dg(x) be differentiable functions such that f^(prime)(x)g(...

    Text Solution

    |

  16. f is continuous in [a, b] and differentiable in (a, b) (where a>0 ) su...

    Text Solution

    |

  17. Find all the values of the parameter'a' for which the function; f(x)=...

    Text Solution

    |

  18. Let h be a twice continuously differentiable positive function on an o...

    Text Solution

    |

  19. if the complete set of values (s) of 'a' for which the function f (x)...

    Text Solution

    |

  20. if two curves y=2 sin ((5pi)/6)x and y=alphax^(2)-3ax+2alpha+1 touch ...

    Text Solution

    |