Home
Class 12
MATHS
Prove the questions : a cos.(B-C)/2 =...

Prove the questions :
`a cos.(B-C)/2 = (b+c)sin.A/2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise Level - 2|55 Videos

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|35 Videos

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advance ( Archive )|20 Videos

Similar Questions

Explore conceptually related problems

In any triangle A B C , prove that following: \ \ a^2sin(B-C)=(b^2-c^2)sinA

If A + B + C = pi then prove that cos A + cos B + cos C = 1 + 4 sin(A/2) .sin(B/2).sin(C/2)

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

In any DeltaABC , prove that (sin B)/(sin C) = (c-a cos B)/(b-a cos C)

In a DeltaA B C , prove the following : a\ cos A+b\ cos B+c cos C=2bsinA sin\ Cdot

Prove that a cos A + b cos B + c cos C = 4 R sin A sin B sin C.

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

In any triangle A B C , prove that following: \ \ asin(A/2)sin((B-C)/2)+bsin(B/2)sin((C-A)/2)+c sin(C/2)sin((A-B)/2)=0.

If A+B+C=pi , prove that : cosA + cosB-cosC=4cos(A/2) cos(B/2) sin(C/2) -1

In DeltaABC , prove that: a(cos^(2)C/2-cos^(2)B/2)=(b-c).cos^(2)A/2

VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-JEE Advanced (Archive)
  1. Prove the questions : a cos.(B-C)/2 = (b+c)sin.A/2

    Text Solution

    |

  2. If the angles A, B and C of a triangle are in an arithmetic progressio...

    Text Solution

    |

  3. In a Delta ABC, among the following which one is ture ?

    Text Solution

    |

  4. The side of a triangle are in the ratio 1 : sqrt3:2, then the angles o...

    Text Solution

    |

  5. If the angles of a triangle are in the ratio 4:1:1, then the ratio of ...

    Text Solution

    |

  6. In a triangle ABC, 2 ac sin (1/2(A-B + C)) =

    Text Solution

    |

  7. In a triangle PQR, ∠R=π/2.If tan(P/2) & tan(Q/2), are the roots of the...

    Text Solution

    |

  8. If in a triangle PQR; sin P, sin Q, sin R are in A.P; then (A)the alt...

    Text Solution

    |

  9. In a DeltaABC, angleB=(pi)/(3) and angleC=(pi)/(4) let D divide BC in...

    Text Solution

    |

  10. Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...

    Text Solution

    |

  11. Let PQR be a triangle of area Delta with a = 2, b = 7//2, and c = 5//2...

    Text Solution

    |

  12. One angle of an isosceles triangle is 120^0 and the radius of its incr...

    Text Solution

    |

  13. In a triangle, the sum of two sides is x and the product of the same t...

    Text Solution

    |

  14. Which of the following pieces of data does NOT uniquely determine an ...

    Text Solution

    |

  15. In triangle ABC, let angle C = pi//2. If r is the inradius and R is ci...

    Text Solution

    |

  16. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  17. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  18. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  21. Internal bisector of angle A of Delta ABC meets side BC to D. A line ...

    Text Solution

    |