Home
Class 11
MATHS
In a triangle ABC, prove that b^(2) sin ...

In a `triangle ABC,` prove that `b^(2) sin 2C+c^(2) sin 2B=2bc sin A`.

Text Solution

Verified by Experts

The correct Answer is:
`2bc sin A`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    FULL MARKS|Exercise Additional Questions Solved|59 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.1|12 Videos

  • SOLVED PAPER 10

    FULL MARKS|Exercise PART-IV|8 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise Additional Questions Solved|19 Videos

Similar Questions

Explore conceptually related problems

Prove that a^(2) sin 2B + b^(2) sin 2A = 4 Delta

In a triangleABC, prove that a cos A+b cos B+c cos C=2a sin B sin C

In any triangle ABC prove that (a^(2)sin(B-C))/(sinA)+(b^(2)sin(C-A))/(sinB)+(c^(2)sin(A-B))/(sinC)=0

In a Delta 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))

In triangle ABC, prove that sin(B+C-A)+sin(C+A-B)+sin(A+B-C)=4sin Asin Bsin Cdot

In a triangleABC," prove that sin" ((B-C)/(2))=(b-c)/(a) cos""A/2 .

In triangle A B C , prove that sin(A/2)+sin(B/2)+sin(C/2)lt=3/2dot Hence, deduce that cos((pi+A)/4)cos((pi+B)/4)cos((pi+C)/4)lt=1/8

In a Delta ABC, prove that a sin ((A)/(2) + B) = (b + c) sin ""(A)/(2)

FULL MARKS-TRIGONOMETRY-Exercise 3.12
  1. In a triangle ABC, prove that b^(2) sin 2C+c^(2) sin 2B=2bc sin A.

    Text Solution

    |

  2. (1)/(cos 80^(@)) - (sqrt(3))/(sin 80^(@)) =

    Text Solution

    |

  3. If cos 28^(@) + sin 28^(@) = k^(3), then cos 17^(@) is equal to

    Text Solution

    |

  4. The maximum value of 4 sin^(2) x + 3 cos^(2) x + sin ""(x)/(2) + cos""...

    Text Solution

    |

  5. (1 + cos"" (pi)/(8))(1 + cos"" (3pi)/(8)) (1 + cos"" (5pi)/(8))(1 + co...

    Text Solution

    |

  6. If pi lt 2 theta lt (3pi)/(2), then sqrt(2 + sqrt( 2 + 2 cos 4 theta))...

    Text Solution

    |

  7. If tan 40^(@) = lambda, then (tan 140^(@) - tan 130^(@))/(1 + tan 140^...

    Text Solution

    |

  8. cos 1^(@) + cos 2^(@) + cos 3^(@) + ….+ cos 179^(@) =

    Text Solution

    |

  9. Letf(4)(x) = (1)/(k) [ sin^(k) + cos^(k) x ] where x in RR and k ge1. ...

    Text Solution

    |

  10. Which of the following is not true?

    Text Solution

    |

  11. cos 2theta cos 2phi + sin^(2) (theta - phi ) - sin^(2) ( theta + phi) ...

    Text Solution

    |

  12. (sin(A - B))/(cos A cos B) + (sin (B - C))/( cos B cos C) + (sin(C - A...

    Text Solution

    |

  13. If cos ptheta + cos qtheta = 0 and if p ne q, then theta is equal to (...

    Text Solution

    |

  14. If tan alpha and tan beta are the roots of x^(2) + ax + b = 0, then (s...

    Text Solution

    |

  15. In a triangle ABC, sin^(2)A + sin^(2)B + sin^(2)C = 2, then the triang...

    Text Solution

    |

  16. If f(theta) = |sin theta| + |cos theta|,theta in RR, then f(theta) is ...

    Text Solution

    |

  17. (cos 6x + 6 cos 4x + 15 cos 2x + 10)/(cos 5x + 5 cos 3x + 10 cos x ) i...

    Text Solution

    |

  18. The triangle of maximum area with constant perimeter 12m

    Text Solution

    |

  19. A wheel is spinning at 2 radians/second. How many seconds will it take...

    Text Solution

    |

  20. If sin alpha + cos alpha = b, then sin 2alpha is equal to

    Text Solution

    |

  21. In a DeltaABC, if (i)sin (A)/(2) sin"" (B)/(2) sin"" (C )/(2) gt 0 (...

    Text Solution

    |