Home
Class 11
MATHS
In any DeltaABC, prove that acos(A+B+C...

In any `DeltaABC`, prove that
`acos(A+B+C)-bcos(B+A)-c""cos(A+C)=0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    ICSE|Exercise MORE SOLVED EXAMPLES|8 Videos

  • PROBABILITY

    ICSE|Exercise CHAPTER TEST |6 Videos

  • QUADRATIC EQUATIONS

    ICSE|Exercise CHAPTER TEST|24 Videos

Similar Questions

Explore conceptually related problems

In a DeltaA B C prove that cos(A+B)+cos C=0.

In any DeltaABC , prove that a(cosC-cosB)=2(b-c)cos^(2)""1/2A

In any DeltaABC , prove that : a cos A + b cos B + c cos C = 2a sin B sin C

In any DeltaABC , prove that a^(3)cos(B-C)+b^(3)cos(C-A)+c^(3)cos(A-B)=3abc

In DeltaABC , prove that: acosA+bcosB=(c)cos(A-B)

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

In any DeltaABC , prove that asin(A/2+B)=(b+c)sin""A/2

In any DeltaABC , prove that acos""((B-C)/2)=(b+c)sin""(A/2) .

In any DeltaABC , prove that asin""1/2(B-C)=(b-c)cos""1/2A

In any DeltaABC , prove that (sin B)/(sin(B+C) ) = b/a

ICSE-PROPERTIES OF TRIANGLE-EXERCISE 7
  1. In any DeltaABC, prove that (sin(A-B))/(sin(A+B))=(a^(2)-b^(2))/c^(2...

    Text Solution

    |

  2. In any DeltaABC, prove that a(sinB-sinC)+b(sinC-sinA)+c(sinA-sinB)=0

    Text Solution

    |

  3. In any DeltaABC, prove that acos(A+B+C)-bcos(B+A)-c""cos(A+C)=0

    Text Solution

    |

  4. In any DeltaABC, prove that a(cosC-cosB)=2(b-c)cos^(2)""1/2A

    Text Solution

    |

  5. In any DeltaABC, prove that asin""1/2(B-C)=(b-c)cos""1/2A

    Text Solution

    |

  6. In any DeltaABC, prove that asin(A/2+B)=(b+c)sin""A/2

    Text Solution

    |

  7. In any DeltaABC, prove that c^(2)=(a-b)^(2)cos^(2)""1/2C+(a+b)^(2)si...

    Text Solution

    |

  8. In any DeltaABC, prove that asin(B-C)+bsin(C-A)+csin(A-B)=0

    Text Solution

    |

  9. In any DeltaABC, prove that (cos2A)/a^(2)-(cos2B)/b^(2)=1/a^(2)-1/b^...

    Text Solution

    |

  10. In any DeltaABC, prove that (1+cos(A-B)cosC)/(1+cos(A-C)cosB)=(a^(2)...

    Text Solution

    |

  11. In any DeltaABC, prove that (b^(2)-c^(2))cotA+(c^(2)-a^(2))cotB+(a^(...

    Text Solution

    |

  12. In any DeltaABC, prove that a^(3)sin(B-C)cosec^(2)A+b^(3)sin(C-A)cos...

    Text Solution

    |

  13. In any DeltaABC, prove that a^(3)cos(B-C)+b^(3)cos(C-A)+c^(3)cos(A-B)...

    Text Solution

    |

  14. In a DeltaABC, if (2cosA)/a+(cosB)/b+(2cosC)/c=a/(bc)+b/(ca), prove th...

    Text Solution

    |

  15. In a DeltaABC, AD is the altitude from A. Given b gt c, angleC=23^(@)"...

    Text Solution

    |

  16. In DeltaABC, (a^(2)+b^(2))/(a^(2)-b^(2))=(sin(A+B))/(sin(A-B)), prove ...

    Text Solution

    |

  17. If (sinA)/(sinC)=(sin(A-B))/(sin(B-C)), prove that a^(2), b^(2), c^(2)...

    Text Solution

    |

  18. If sin2A+sin2B=sin2C, prove that A=90^(@)" or " B=90^(@).

    Text Solution

    |

  19. If in a triangle A B C ,/C=60^0, then prove that 1/(a+c)+1/(b+c)=3/(a+...

    Text Solution

    |

  20. In a DeltaABC the angles A, B, C are in A.P. show that 2cos""(A-C)/2=(...

    Text Solution

    |