Home
Class 12
MATHS
In triangle ABC the value of ( co...

In triangle ABC the value of
` ( cot A/2 cot ""B/2 -1)/( cot""A/2 cot""B/2)` is

A

`(a)/( a+b+c)`

B

`(c )/(a+b+c)`

C

`(2a)/(a+b+c)`

D

`(2c )/(a+b+c)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|44 Videos

  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION|2 Videos

Similar Questions

Explore conceptually related problems

In a triangle ABC if b+c=3a then find the value of cot(B/2)cot(C/2)

Prove that cot (A + B) = (cot A cot B - 1)/(cot A + cot B)

In a triangle ABc , if r^2cot(A/2) cot(B/2) cot(C/2)=

In triangle ABC, if |[1,1,1], [cot (A/2), cot(B/2), cot(C/2)], [tan(B/2)+tan(C/2), tan(C/2)+ tan(A/2), tan(A/2)+ tan(B/2)]| then the triangle must be (A) Equilateral (B) Isoceless (C) Right Angle (D) none of these

In a triangle ABC if cot(A/2)cot(B/2)=c, cot(B/2)cot(C/2)=a and cot(C/2)cot(A/2)=b then 1/(s-a)+1/(s-b)+1/(s-c)=

For any triangle ABC, prove that (b^2 c^2) cot"A"+"(c^2 a^2)"cot"B""+""(a^2 b^2)" cot"C" "="\ "0

cot x cot 2x - cot 2x cot 3x - cot 3x cot x=1

If in A B C ,A C is double of A B , then the value of cot(A/2)cot((B-C)/2) is equal to 1/3 (b) -1/3 (c) 3 (d) 1/2

If x , ya n dz are the distances of incenter from the vertices of the triangle A B C , respectively, then prove that (a b c)/(x y z)=cot(A/2)cot(B/2)cot(C/2)

If A +B +C = 90 ^@ then ( cot A+ cot B + cot C) /(cot A cot B cot C ) =

NEW JOYTHI PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. IF tan A and tan B are the roots of abx^2 - c^2 +ab =0 where ...

    Text Solution

    |

  2. In a triangle ABC ,if a=3 , b=4 , c=5 then the distance between i...

    Text Solution

    |

  3. In triangle ABC the value of ( cot A/2 cot ""B/2 -1)/( cot""A...

    Text Solution

    |

  4. In a triangle ABC , if angle A=60 , a=5,b=4 then c is a root ...

    Text Solution

    |

  5. From the top of a tower the angle of depression of a point on ...

    Text Solution

    |

  6. If tan alpha = b/a, a gt b gt 0 and if 0 lt alpha lt (pi)/(4), th...

    Text Solution

    |

  7. If alpha , beta in (0,pi/2), sin alpha =4/5 and cos ( alpha + b...

    Text Solution

    |

  8. The number of solution of cos 2 theta = sin theta in (0, 2 pi) ...

    Text Solution

    |

  9. the value of tan 40^@ + tan 20^@ + sqrt(3) tan 20^@ tan 40^@ is...

    Text Solution

    |

  10. The period of the function f( theta ) = 4 + 4 sin ^3 theta -3 ...

    Text Solution

    |

  11. The value of x in ( 0, pi/2) satisfying the equation sin x cos ...

    Text Solution

    |

  12. The period of the function f(x) = | sin 2x | + | cos 8x | is

    Text Solution

    |

  13. the value of cos 20^@ + cos 100^@ + cos 140 ^@ is equal to

    Text Solution

    |

  14. if (-pi)/(2) lt theta lt pi/2 andn theta ne 0 pi/4 , then valu...

    Text Solution

    |

  15. If sin theta = 3 sin ( theta + 2 alpha), then the value of ...

    Text Solution

    |

  16. If alpha , beta , gamma in [0,pi] and if alpha , beta , gamma ...

    Text Solution

    |

  17. the value of 1/8 (3-4 cos 2 theta + cos 4 theta ) is

    Text Solution

    |

  18. IF 8 cos 2 theta + 8 sec 2 theta = 65 , 0 lt (pi)/(2) , then ...

    Text Solution

    |

  19. The value of sqrt(2) (cos 15^@ - sin 15^@ ) is equal to

    Text Solution

    |

  20. if cos x=-4/5 , where x in [ 0,pi] then the value of cos (x/2)...

    Text Solution

    |