Home
Class 11
MATHS
For any triangle ABC prove that (b-c)cot...

For any triangle ABC 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

  • TRIGONOMETRIC EQUATION AND INVERSE

    PATHFINDER|Exercise QUESTION BANK|195 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    PATHFINDER|Exercise QUESTION BANK|241 Videos

Similar Questions

Explore conceptually related problems

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

in any triangle ABC prove that (b-c)/acos^2(A/2)+(c-a)/(b)cos^2(B/2)+(a-b)(/c)cos^2(C/2)=0

Prove that in any /_\ABC . (b-c)cot(A/2)+(c-a)cot (B/2)+(a-b)cot (C/2)=0

In any triangle ABC, show that, (a+b-c) (cot A/2 + cotB/2) = 2c cot C/2

In a triangle ABC, prove that (b + c)/(a) le cosec.(A)/(2)

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

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

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

In any triangle ABC prove that a^2cotA+b^2cotB+c^2cotC=(abc)/R

In a triangle A B C prove that a/(a+c)+b/(c+a)+c/(a+b)<2

PATHFINDER-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. In any triangle ABC show that sinA+sinB gt sin C

    Text Solution

    |

  2. Prove that for any triangle ABC,(cosBcosC)/bc+(cosCcosA)/ca+(cosAcosB)...

    Text Solution

    |

  3. For any triangle ABC prove that (b-c)cot(A/2)+(c-a)cot(B/2)+(a-b)cot(C...

    Text Solution

    |

  4. for any triangleABC show that (b^2-c^2)/(cosB+cosC)+(c^2-a^2)/(cosC+co...

    Text Solution

    |

  5. if in a triangle ABC ,a^2,b^2,c^2 are in A.P. then show that cotA,cotB...

    Text Solution

    |

  6. In triangle ABC tan(A/2), tan(B/2) and tan (C/2) are in A.P. then prov...

    Text Solution

    |

  7. If in triangleABC ,a^4+b^4+c^4=2c^2(a^2+b^2) then find angleC

    Text Solution

    |

  8. In any triangle ABC if cosA=sinB-cosC then show that any angle of the...

    Text Solution

    |

  9. In any triangle ABC prove that a^2cotA+b^2cotB+c^2cotC=(abc)/R

    Text Solution

    |

  10. in any triangle ABC prove that (b-c)/acos^2(A/2)+(c-a)/(b)cos^2(B/2)+(...

    Text Solution

    |

  11. In triangle ABC if the angles A,B and C be in A.P. then show that 2co...

    Text Solution

    |

  12. In triangle ABC if cosAcosB +sinAsinB sinC=1 then prove that a:b:c=1:1...

    Text Solution

    |

  13. In triangleABC (b+c)/11=(c+a)/12=(a+b)/13 then prove that (cosA)/7=(co...

    Text Solution

    |

  14. in triangleABC if (a^2+b^2)/(a^2-b^2)=sin(A+B)/sin(A-B) then prove th...

    Text Solution

    |

  15. In triangleABC if a/(b+c)=tan(A/2) the show that A+C=pi/2

    Text Solution

    |

  16. if the lengths of sides of a triangle be 1-2x,(x^2-x+1 and (x^2-1) the...

    Text Solution

    |

  17. If in triangleABC ,sin^4A+sin^4B+sin^4C=sin^2Bsin^2C+2sin^2Csin^2A+2si...

    Text Solution

    |

  18. For any triangle ABC prove that acosA+bcosB +c cosC=2a sinBsinC

    Text Solution

    |

  19. If in triangle ABC ,b^2=a(c+a) and c^2=(a+b)b then prove that cosAcos ...

    Text Solution

    |

  20. If in triangle ABC cosA+cosB+cosC=3/2 then prove that triangle is equi...

    Text Solution

    |