Home
Class 11
MATHS
In any triangle ABC, prove that : (a^2-b...

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

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

In any triangle ABC, prove that : a (b cos C-c cos B) = b^2 -c^2 .

In any triangle ABC, prove that : a (cos C - cos B) = 2 (b-c) cos^2 frac (A)(2) .

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

For any triangle ABC, prove that : (a+b)/c= (cos frac (A-B)(2))/(sin frac (C)(2)) .

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

In any triangle ABC, prove that : a (cos B + cos C) = 2 (b +c) sin^2 frac (A)(2) .

In any triangle ABC, prove that : (b + c) cos A + (c + a) cos B + (a + b) cos C=a+b+c .

In any triangle ABC, prove that cos A= frac{b^2+c^2-a^2}{2bc} .

In any triangle ABC, then by vectors, prove that : a=b cos C+c cos B .

Prove that (sin(B-C))/(cos B cos C)+(sin(C-A))/(cos C cos A)+(sin(A-B))/(cos A cos B)=0

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. In any triangle A B C , prove that: (a^2sin(B-C))/(sinB+sin C)+(b^2sin...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. In any triangle ABC, prove that : a^3 sin (B-C)+ b^3 sin (C-A)+ c^3 s...

    Text Solution

    |

  5. In any triangle ABC, prove that : a (cos B + cos C) = 2 (b +c) sin^2 ...

    Text Solution

    |

  6. In any triangle ABC, prove that : a (cos C - cos B) = 2 (b-c) cos^2 fr...

    Text Solution

    |

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

    Text Solution

    |

  8. In any triangle ABC, prove that : (c^2-a^2+b^2) tan A= (a^2-b^2+ c^2) ...

    Text Solution

    |

  9. In any DeltaABC, 2 [bc cos A + ca cos B+ ab cos C]=

    Text Solution

    |

  10. In any triangle ABC, prove that : (b + c) cos A + (c + a) cos B + (a +...

    Text Solution

    |

  11. In any triangle ABC, prove that : (b^2-c^2) cot A + (c^2-a^2)cot B +(...

    Text Solution

    |

  12. In any triangle ABC, prove that : (b^2-c^2) tan B tan C + (c^2-a^2)tan...

    Text Solution

    |

  13. In any triangle ABC, prove that : ((b^2-c^2))/a^2 sin 2A+ ((c^2-a^2))/...

    Text Solution

    |

  14. In any triangle ABC, prove that : (tanC)/(tanA)= (b^2+c^2-a^2)/(a^2+b^...

    Text Solution

    |

  15. In any triangle ABC, prove that : b^2 sin 2C + c^2 sin 2B = 2 bc sin A...

    Text Solution

    |

  16. In any triangle ABC : If a cos A = b cos B, prove that either the tri...

    Text Solution

    |

  17. In any triangle ABC : If sin 2A = sin 2B + sin 2C, prove that either ...

    Text Solution

    |

  18. In Delta ABC, if sin ^(2) A+sin ^(2) B =sin ^(3)C, then the triangle i...

    Text Solution

    |

  19. In any triangle ABC : If (cosA)/a= (cosB)/b, prove that the triangle ...

    Text Solution

    |

  20. Prove that the area of a sector of circle with radius r and central an...

    Text Solution

    |