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

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

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 (cos C - cos B) = 2 (b-c) cos^2 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 : (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 .

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 : (sin(B-C))/(sin(B+C))= (b^2 -c^2)/a^2 .

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

In any triangle ABC, prove that : sin (A + B) = sin C .

In any triangle ABC, prove that : (b^2-c^2) cot A + (c^2-a^2)cot B +(a^2-b^2)cotC=0 .

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

In any triangle ABC, prove that : (cosA)/a+ (cosB)/b+(cosC)/c= (a^2+b^2+c^2)/(2abc) .

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

    Text Solution

    |

  2. Find the radian measure corresponding to the following degree measure ...

    Text Solution

    |

  3. Find the radian measure corresponding to the following degree measure ...

    Text Solution

    |

  4. Find the radian measure corresponding to the following degree measure ...

    Text Solution

    |

  5. Find the radian measures corresponding to the following degree measure...

    Text Solution

    |

  6. Find the radian measure corresponding to the following grade measure :...

    Text Solution

    |

  7. Find the radian measure corresponding to the following grade measure :...

    Text Solution

    |

  8. Find the radian measure corresponding to the following grade measure :...

    Text Solution

    |

  9. Find thedegree measure corresponding to the following measure. (Use pi...

    Text Solution

    |

  10. Find thedegree measure corresponding to the following measure. (Use pi...

    Text Solution

    |

  11. Find thedegree measure corresponding to the following measure. (Use pi...

    Text Solution

    |

  12. Find thedegree measure corresponding to the following measure. (Use pi...

    Text Solution

    |

  13. The angles of a triangle are3x^@, ((4x)/3)^g and (2 pi x)/75 radians. ...

    Text Solution

    |

  14. Express the radians the fourth angle of a quadrilateral which has thre...

    Text Solution

    |

  15. The sum of two angles is 80 grades and their difference is 18^@. Find ...

    Text Solution

    |

  16. The angles of a triangle are in the ratio 1 : 2: 3. Find the angles in...

    Text Solution

    |

  17. The vertical angle of an isosceles triangle is 2/3 rd of each of its b...

    Text Solution

    |

  18. In a right-angled triangle, the difference between two acute angles is...

    Text Solution

    |

  19. The wheel of a carriage is 91 cm in diameter and makes 5 revolutions p...

    Text Solution

    |

  20. A wheel makes 360 revolutions in one minute. Through how many radians ...

    Text Solution

    |

  21. Find the length of the arc of a circle of radius 5 cm subtending an an...

    Text Solution

    |