Home
Class 11
MATHS
In any triangle A B C , prove that: (b-c...

In any triangle `A B C ,` prove that: `(b-c)cot (A/2)+(c-a)cot (B/2)+(a-b)cot (C/2)` =0

Promotional Banner

Topper's Solved these Questions

  • SETS

    RD SHARMA ENGLISH|Exercise All Questions|228 Videos

  • SOME SPECIAL SERIES

    RD SHARMA ENGLISH|Exercise All Questions|69 Videos

Similar Questions

Explore conceptually related problems

In any triangle A B C prove that: sin((B-C)/2)=((b-c)/a)cosA/2

In any DeltaABC , prove that (a+b-c) cot (B/2) = (a-b+c) cot (C/2)

In any triangle ABC prove that cot(A/2)+cot(B/2)+cot(C/2)=cot(A/2)cot(B/2)cot(C/2)

In any triangle A B C , prove that: (b-c)/(b+c)=(tan((B-C)/2))/(tan((B+C)/2))

For any triangle ABC, prove that (b+c)cos((B+C)/2)=acos((B-C)/2)

In a Delta A B C , prove that: (b^2-c^2)cotA+(c^2-a^2)cot B+(a^2-b^2)cotC=0

In any triangle A B C , prove that: acos((B-C)/2)=(b+c)sin(A/2)

In any triangle A B C , prove that following: sin((B-C)/2)=(b-c)/a cos (A/2)

In a triangle ABC prove that r_1r_2r_3=r^3 cot^2 (A/2). cot^2 (B/2).cot^2(C/2)

In a triangle ABC, prove that (a) cos(A + B) + cos C = 0 (b) tan( (A+B)/2)= cot(C/ 2)

RD SHARMA ENGLISH-SINE AND COSINE FORMULAE AND THEIR APPLICATIONS-All Questions
  1. In any triangle. if(a^2-b^2)/(a^2+b^2)=("sin"(A-B))/("sin"(A+B)) , the...

    Text Solution

    |

  2. For any triangle ABC, prove that acosA+bcosB+ccosC=2asinBsinC

    Text Solution

    |

  3. In any triangle A B C , prove that: (b-c)cot (A/2)+(c-a)cot (B/2)+(a-b...

    Text Solution

    |

  4. If in a A B C ,(sinA)/(sinC)=(sin(A-B))/(sin(B-C) , prove that a^2,b^...

    Text Solution

    |

  5. In a triangle A B C , if acosA=bcosB , show that the triangle is eithe...

    Text Solution

    |

  6. If in triangle the angles are in the ratio as 1:2:3 , prove that the ...

    Text Solution

    |

  7. In the sides of a triangle are in the ratio 1:sqrt(3):2, then the meas...

    Text Solution

    |

  8. In any triangle A B C , prove that: (a^2sin(B-C))/(sinB+ sin C)+(b^2...

    Text Solution

    |

  9. The angles of a triangle A B C are in AdotPdot and it is being given t...

    Text Solution

    |

  10. In A B C , prove that (a-b^2cos^2C/2+(a+b)^2sin^2C/2=c^2dot

    Text Solution

    |

  11. In a A B C , if a=3,b=5a n dc=7,fin dcos A ,cos Ba n dcos Cdot

    Text Solution

    |

  12. A particle just clears a wall of height b at distance a and strikes...

    Text Solution

    |

  13. A person observes the angle of elevation of the peak of a hill from a ...

    Text Solution

    |

  14. If in a triangleA B C , (2cosA)/a+(cos B)/b+(2cosC)/c=a/(b c)+b/(c a) ...

    Text Solution

    |

  15. In a triangle A B C , if cos A=(sinB)/(2sinC) , show that the triangle...

    Text Solution

    |

  16. In any Delta A B C , prove that: (cosA)/(bcosC+c cosB)+(cosB)/(c cos...

    Text Solution

    |

  17. In any DeltaA B C ,suma(sinB-sin C)= (a) a^2+b^2+c^2 (b) a^2 (c) b...

    Text Solution

    |

  18. In a Delta A B C , ifsinAa n dsinB are the roots of the equation c^2...

    Text Solution

    |

  19. In any A B C , prove that: Delta=(a^2-b^2)/2dot(sinAsinB)/(sin(A-B))

    Text Solution

    |

  20. In any triangle A B C , prove that:Delta=(b^2+c^2-a^2)/(4cotA) .

    Text Solution

    |