Home
Class 12
MATHS
Show that a^(2)sin2C+c^(2)sin2A=4Delta...

Show that `a^(2)sin2C+c^(2)sin2A=4Delta`

Text Solution

Verified by Experts

The correct Answer is:
`4Delta=R.H.S`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    SRISIRI PUBLICATION|Exercise LAQ|20 Videos

  • PRODUCT OF VECTORS

    SRISIRI PUBLICATION|Exercise SPQ|15 Videos

  • QUESTION PAPER

    SRISIRI PUBLICATION|Exercise SECTION - C|36 Videos

Similar Questions

Explore conceptually related problems

a^(2) sin 2C + c ^(2) sin 2A =

Show that b^(2)sin2C+c^(2)sin2B=2bcsinA

In Delta ABC,a^2 sin 2C+c^2 sin 2A=

If A, B , C are angles in a triangle, then prove that sin ^(2)A+ sin ^(2)B+sin^(2)C=2+2 cos A cos B cos C

If A,B, C are angles in a triangle, then prove that: sin^(2) A + sin^(2) B - sin^(2) C =2 sin A sin B cos C

SRISIRI PUBLICATION-PROPERTIES OF TRIANGLES-LAQ ,SAQ,VSAQ (2DHARDQ) (3DMIS.Q)
  1. In DeltaABC prove that (b-c)^(2)cos^(2).(A)/(2)+(b+c)^(2)sin^(2).(A)/(...

    Text Solution

    |

  2. If tan.(C-A)/(2)=k cot.(B)/(2) then find k .

    Text Solution

    |

  3. Show that (c-bcosA)/(b-c"cos"A)=(cosB)/(cosC)

    Text Solution

    |

  4. In DeltaABC , " find " b cos ^(2).(C)/(2)+c cos^(2).(B)/(2)

    Text Solution

    |

  5. If cot.(A)/(2)=(b+c)/(a) find angle B

    Text Solution

    |

  6. Show that b^(2)sin2C+c^(2)sin2B=2bcsinA

    Text Solution

    |

  7. In DeltaABC show that (b^(2)-c^(2))/(a^(2))=(sin(B-C))/(sin(B+C))

    Text Solution

    |

  8. Show that a cosA+bcosB+c"cos"C=(2Delta)/(R)

    Text Solution

    |

  9. Show that a^(2)sin2C+c^(2)sin2A=4Delta

    Text Solution

    |

  10. In DeltaABC , prove that (1)/(r(1))+(1)/(r(2))+(1)/(r(3))=(1)/(r).

    Text Solution

    |

  11. Show that rr(1)r(2)r(3)=Delta^(2)

    Text Solution

    |

  12. If A=90^(@), " show that " 2(r+R)=b+c

    Text Solution

    |

  13. If s = 12 and A=90^(@) then find the value of r(1)

    Text Solution

    |

  14. If a = 18 , b=24 , c=30 , find r(1) .

    Text Solution

    |

  15. If a , b, c are in A .P ., then show that 3tan.(A)/(2)tan.(C)/(2)=1

    Text Solution

    |

  16. If acos^(2).(C)/(2)+c"cos"^(2)(A)/(2)=(3b)/(2), then show that a, b , ...

    Text Solution

    |

  17. Two tress A and B are on the same side of a river . From a point C in ...

    Text Solution

    |

  18. The upper 3//4^(th) portion of a vertical pole subtends an angle "Tan"...

    Text Solution

    |

  19. AB is a vertical pole with B at the ground level and and A at the top ...

    Text Solution

    |

  20. The angle of elevation of the toop point P of the vertical tower PQ of...

    Text Solution

    |