Home
Class 12
MATHS
In /\ABC prove that sin(frac{A}{2})sin...

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

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

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

In /_\ABC , show that bcos^2(frac{C}{2})+c cos^2(frac{B}{2}) = s

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})

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

Solve the following: In /_\ABC prove the following: frac{cosA}{a}+frac{cosB}{b}+frac{cosC}{c}= frac{a^2+b^2+c^2}{2abc}

Solve the following: In /_\ABC prove the following: frac{b-c}{a} =frac{tan(frac{B}{2})-tan(frac{C}{2})}{tan(frac{B}{2})+tan(frac{C}{2})}

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

Solve the following: In /_\ABC prove the following: frac{cos2A}{a^2}-frac{cos2B}{b^2} = frac{1}{a^2}-frac{1}{b^2}

Show that 2sin^-1(frac{3}{5}) = tan^-1(frac{24}{7})

CHETANA PUBLICATION-Trignometric Functions-EXERCISE
  1. In /\ABC prove that sin(frac{A}{2})sin(frac{B}{2})sin(frac{C}{2}) = ...

    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

    |