Home
Class 11
MATHS
For any triangle ABC, prove that(b^2-c^2...

For any triangle ABC, prove that`(b^2-c^2)/(a^2)sin2A+(c^2-a^2)/(b^2)sin2B+(a^2-b^2)/(c^2)sin2C=0`

Text Solution

AI Generated Solution

To prove the equation \[ \frac{b^2 - c^2}{a^2} \sin 2A + \frac{c^2 - a^2}{b^2} \sin 2B + \frac{a^2 - b^2}{c^2} \sin 2C = 0 \] for any triangle ABC, we will use the sine rule and cosine rule. ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT ENGLISH|Exercise EXERCISE 10.4|4 Videos

Similar Questions

Explore conceptually related problems

In a Delta A B C , prove that: ((b^2-c^2)/(a^2))sin2A+((c^2-a^2)/(b^2))sin2B+((a^2-b^2)/(c^2))sin2C=0

In sub - part (i) to (x) choose the correct option and in sub - part (xi) to (xy), answer the questions as intructed . In any triangle ABC, (b^(2)-c^(2))/(a^(2))sin2A+(c^(2)-a^(2))/(b^(2))sin2B+(a^(2)-b^(2))/(c^(2))"sin"2C= ________

In any DeltaABC , prove that, (b^(2)-c^(2))/a^(2)sin2A+(c^(2)-a^(2))/b^(2)sin2B+(a^(2)-b^(2))/c^(2)sin2C=0 .

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

In any DeltaABC , prove that : (b^2 -c^2) sin^2 A + (c^2 -a^2) sin^2 B + (a^2 - b^2) sin^2 C = 0

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

For any triangle ABC, prove that (b^2 - c^2) cotA + (c^2 - a^2) cotB + (a^2 - b^2) cotC = 0

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

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

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

NCERT ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Two trees, A and B are on the same side of a river. From a point C in ...

    Text Solution

    |

  2. A tree stands vertically on a hill side which makes an angle of 15^0 w...

    Text Solution

    |

  3. Two ships leave port at the same time. One goes 24 km per hour in the ...

    Text Solution

    |

  4. For any triangle ABC, prove that(b^2 - c^2) cotA + (c^2 - a^2) cotB + ...

    Text Solution

    |

  5. For any triangle ABC, prove that(b^2-c^2)/(a^2)sin2A+(c^2-a^2)/(b^2)si...

    Text Solution

    |

  6. For any triangle ABC, prove that acosA+bcosB+c cosC=2asinBsinC

    Text Solution

    |

  7. For any triangle ABC, prove that(cosA)/a+(cosB)/b+(cosC)/c=(a^2+b^2+c^...

    Text Solution

    |

  8. In any triangle ABC, if a=18 , b=24 , c=30, findcosA, cosB, cosC

    Text Solution

    |

  9. For any triangle ABC, prove that(a+b)/c=(cos((A-B)/2))/(sinC/2)

    Text Solution

    |

  10. In any triangle ABC, if a=\ 18 , b=\ 24 , c=\ 30, findsinA, sinB, sinC

    Text Solution

    |

  11. For any triangle ABC, prove thatsin(B-C)/2=(b-c) /a ( cosA/2)

    Text Solution

    |

  12. For any triangle ABC, prove that(a-b)/c=(sin((A-B)/2))/(cos(C/2))

    Text Solution

    |

  13. For any triangle ABC, prove that a(cosC-cos B)\ =\ 2\ (b - c)\ cos^2(A...

    Text Solution

    |

  14. For any triangle ABC, prove thata(bcosC-c cosB)=b^2-c^2

    Text Solution

    |

  15. For any triangle ABC, prove that(b+c)cos((B+C)/2)=acos((B-C)/2)

    Text Solution

    |

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

    Text Solution

    |

  17. In triangle ABC , prove that tan (B-C)/2 =[( b-c) /(b+c )] cot A/2 , ...

    Text Solution

    |

  18. The angle of elevation of to be top point P of the vertical tower PQ o...

    Text Solution

    |

  19. If any triangle ABC, find the value of asin(B-C)+b sin(C-A)+c sin(A-...

    Text Solution

    |

  20. In triangle ABC, prove that 'tan((B-C)/2)=(b-c)/(b+c)cotA/2tan(C-A)/...

    Text Solution

    |