Home
Class 11
MATHS
In any triangle A B C , prove that follo...

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

Promotional Banner

Topper's Solved these Questions

  • SETS

    RD SHARMA ENGLISH|Exercise All Questions|228 Videos
  • SOME SPECIAL SERIES

    RD SHARMA ENGLISH|Exercise All Questions|69 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

In any triangle A B C , prove that following: \ (a^2"sin"(B-C))/(sin A)+(b^2"sin"(C-A))/(sin B)+(c^2"sin"(A-B))/(sin C)=0

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

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.

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

In any triangle A B C , prove that: Delta=(b^2+c^2-a^2)/(4cotA) .

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

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

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

RD SHARMA ENGLISH-SINE AND COSINE FORMULAE AND THEIR APPLICATIONS-All Questions
  1. In any triangle A B C , prove that following :(a+b)/c=(cos((A-B)/2))/(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. In any triangle A B C , prove that following: \ bsinB-csinC=asin(B-C)

    Text Solution

    |

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

    Text Solution

    |

  6. In any triangle A B C , prove that following: \ a(sin B-sin C)+b( sin ...

    Text Solution

    |

  7. In any triangle A B C , prove that following: \ (a^2"sin"(B-C))/(sin A...

    Text Solution

    |

  8. In any triangle A B C , prove that following: \ \ bcosB+c\ cos\ C="a c...

    Text Solution

    |

  9. In any triangle A B C , prove that following: \ (cos^2B-cos^2C)/(b+c)+...

    Text Solution

    |

  10. In any triangle A B C , prove that following: \ \ asin(A/2)sin((B-C)/2...

    Text Solution

    |

  11. In any triangle A B C , prove that following: \ \ acosA+bcosB+c\ cos C...

    Text Solution

    |

  12. In any triangle A B C , prove that following: \ a\ (cosB cos C+cos A)=...

    Text Solution

    |

  13. In a Delta A B C ,\ ifsin^2A+sin^2B=sin^2C , show that the triangle i...

    Text Solution

    |

  14. The upper part of a tree broken over by the wind makes an angle of 30^...

    Text Solution

    |

  15. If the sides of a DeltaA B C\ are a=4,\ b=6\ a n d\ c=8, show that 4...

    Text Solution

    |

  16. In any Delta A B C , prove that: a(b\ cos C-c cosB)=b^2-c^2

    Text Solution

    |

  17. In any Delta A B C , prove that: (cos A)/a+(cos B)/b+(cos C)/c=(a^2+b...

    Text Solution

    |

  18. In any Delta A B C , prove that: 2(bc cosA+cacosB+a bcosC)=a^2+b^2+c^...

    Text Solution

    |

  19. In a Delta A B C , prove that: (b^2-c^2)cotA+(c^2-a^2)cot B+(a^2-b^2)...

    Text Solution

    |

  20. In a Delta A B C , prove that: ((b^2-c^2)/(a^2))sin2A+((c^2-a^2)/(b^2)...

    Text Solution

    |