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

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

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 : sin (A + B) = sin C .

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

In any triangle ABC, prove that : a sin (B -C) + b sin (C -A) +c sin (A-B) = 0 .

In any triangle ABC, prove that : a^3 sin (B-C)+ b^3 sin (C-A)+ c^3 sin (A-B)=0 .

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

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

In any triangle ABC, prove that : sin frac (A)(2) +sin frac (B)(2)+sin frac (C)(2)=1+4 sin frac (pi-A)(4) sin frac (pi-B)(4) sin frac (pi-C)(4) .

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

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Prove that the area of a sector of a circle of radius r and an arc of ...

    Text Solution

    |

  10. The greatest angle of a cyclic quadrilateral is three times the least....

    Text Solution

    |

  11. A wire 121 cm long is bent so as to lie along the arc of a circle of 9...

    Text Solution

    |

  12. Prove that: (tan A)/(1-cotA)+ (cotA)/(1-tan A)= 1/ (sinA cosA)+1.

    Text Solution

    |

  13. Prove that (tan^2 theta)/(tan^2 theta-1)+(cosec^2 theta)/ (sec^2 theta...

    Text Solution

    |

  14. Prove that: (tanA+secA-1)/(tan A -secA +1)= secA+tanA.

    Text Solution

    |

  15. Eliminate alpha between the equations: (sin^2 alpha)/(cos alpha)=a^3...

    Text Solution

    |

  16. Find the value of 3(sinx-cosx)^(4)+6(sinx+cos x)^(2)+4(sin^(6)x+cos^(6...

    Text Solution

    |

  17. Given, sin x =-3/7 and x belongs to the third quadrant, obtain the va...

    Text Solution

    |

  18. If 7 sin A = 24 cos A and 0ltAlt pi/2, find 14 tan A - 25 cos A-7 sec...

    Text Solution

    |

  19. If sectheta= x+1/(4x) , then prove that sectheta+tantheta=2x or 1/(2x)...

    Text Solution

    |

  20. If tan theta =p/q, show that : (p sin theta-q cos theta)/(p sin thet...

    Text Solution

    |