Home
Class 12
MATHS
In /\ ABC, prove that a^3sin(B-C)+b^3sin...

In `/_\ ABC`, prove that `a^3sin(B-C)+b^3sin(C-A)+c^3sin(A-B) = 0`

Promotional Banner

Topper's Solved these Questions

  • Trignometric Functions

    CHETANA PUBLICATION|Exercise EXERCISE|113 Videos

  • PROBABILITY DISTRIBUTIONS

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

Similar Questions

Explore conceptually related problems

In any /_\ABC , prove that frac{a^2sin(B-C)}{sinA}+frac{b^2sin(C-A)}{sinB}+frac{c^2sin(A-B)}{sinC} = 0

Solve the following: In /_\ABC prove the following a^2sin(B-C) = (b^2-c^2)sinA

Solve the following: If A+B+C=pi ,prove that sin(B+2C)+sin(C+2A)+sin(A+2B)= 4sin((B-C)/2)sin((C-A)/2)sin((A-B)/2)

In /_\ ABC , prove that sin(frac{B-C}{2}) = frac{b-c}{a}cos(frac{A}{2})

In /_\ABC prove that sin(frac{A}{2})sin(frac{B}{2})sin(frac{C}{2}) = frac{(A(/_\ABC))^2}{abcs}

In triangleABC prove that sin^2(A/2)+sin^2(B/2)+sin^2(C/2)=1-2sin(A/2)sin(B/2)sin(C/2)

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

Solve the following: In /_\ABC prove that (a-b)^2cos^2(frac{C}{2})+(a+b)^2sin^2(frac{C}{2}) = c^2

If A+B+C=pi , then sin(A+B)=

In /_\ABC prove that (b+c-a)tan(frac{A}{2}) = (c+a-b)tan(frac{B}{2}) = (a+b-c)tan(frac{C}{2})

CHETANA PUBLICATION-Trignometric Functions-EXERCISE
  1. In /\ ABC, prove that a^3sin(B-C)+b^3sin(C-A)+c^3sin(A-B) = 0

    Text Solution

    |

  2. Find the general solutions of the following equations: sintheta = frac...

    Text Solution

    |

  3. Find the general solutions of the following equations: costheta = frac...

    Text Solution

    |

  4. Find the general solutions of the following equations: tantheta = sqrt...

    Text Solution

    |

  5. Find the general solutions of the following equations: sintheta = -fra...

    Text Solution

    |

  6. Find the general solutions of the following equations: costheta = -fra...

    Text Solution

    |

  7. Find the general solutions of the following equations: cottheta = -sqr...

    Text Solution

    |

  8. Find the general solutions of the following equations: 4cos^2theta = 1

    Text Solution

    |

  9. Find the general solutions of the following equations: 4sin^2theta = 3

    Text Solution

    |

  10. Find the general solutions of the following equations: tan^2theta = 1

    Text Solution

    |

  11. Find the general solutions of the following equations: cos3theta = cos...

    Text Solution

    |

  12. Find the general solutions of the following equations: cos5theta = sin...

    Text Solution

    |

  13. Find the general solutions of the following equations: sec^2(2theta) =...

    Text Solution

    |

  14. Find the general solutions of the following equations: 4sinxcosx+2sinx...

    Text Solution

    |

  15. Find the general solutions of the following equations: sin2x+sin4x+sin...

    Text Solution

    |

  16. Find general solution of sqrt3cosx-sinx = 1

    Text Solution

    |

  17. Solve the triangle in which a=2,b=1 and c=sqrt3

    Text Solution

    |

  18. In any /\ABC, prove that asinA-bsinB = csin(A-B)

    Text Solution

    |

  19. In any /\ABC, prove that [frac{a-b}{a+b}] = frac{tan(frac{A-B}{2})}{ta...

    Text Solution

    |

  20. In any /\ABC, prove that frac{a^2sin(B-C)}{sinA}+frac{b^2sin(C-A)}{sin...

    Text Solution

    |

  21. For /\ABC, prove that frac{cosA}{c cosB+bcosC}+frac{cosB}{acosC+c cosA...

    Text Solution

    |