Home
Class 11
MATHS
In any triangle ABC show that b^2sin2C+c...

In any triangle ABC show that `b^2sin2C+c^2sin 2B=abc/R`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION AND INVERSE

    PATHFINDER|Exercise QUESTION BANK|195 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    PATHFINDER|Exercise QUESTION BANK|241 Videos

Similar Questions

Explore conceptually related problems

In any triangle ABC show that sinA+sinB gt sin C

In any triangle ABC prove that sin2A+sin2B+sin2C=(abc)/(2R^3)

If the area of the triangle ABC be triangle , show that, b^(2)sin 2C + c^(2) sin 2B= 4triangle .

For any triangleABC show that c^2(sin^2B-sin^2A)+b^2(sin^2A-sin^2C)+a^2(sin^2C-sin^2B)=0

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

In any triangle ABC, show that (a sin C)/(b - a cosC)= tanA .

In any triangle ABC, the value of (b^(2)sin 2C + c^(2) sin 2B) is-

In any triangle ABC, show that, (a+b-c) (cot A/2 + cotB/2) = 2c cot C/2

For any triangle ABC show that a sin(B-C)+bsin(C-A)+csin(A-B)=0

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

PATHFINDER-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. In triangleABC angleC=90^@ then show that (a^2+b^2)/(a^2-b^2)sin(A-B)...

    Text Solution

    |

  2. In triangleABC if acos^2(C/2)+c cos^2(A/2)=3b/2 then show that a,b,c a...

    Text Solution

    |

  3. In any triangle ABC show that b^2sin2C+c^2sin 2B=abc/R

    Text Solution

    |

  4. In any triangle ABC show that sinA+sinB gt sin C

    Text Solution

    |

  5. Prove that for any triangle ABC,(cosBcosC)/bc+(cosCcosA)/ca+(cosAcosB)...

    Text Solution

    |

  6. For any triangle ABC prove that (b-c)cot(A/2)+(c-a)cot(B/2)+(a-b)cot(C...

    Text Solution

    |

  7. for any triangleABC show that (b^2-c^2)/(cosB+cosC)+(c^2-a^2)/(cosC+co...

    Text Solution

    |

  8. if in a triangle ABC ,a^2,b^2,c^2 are in A.P. then show that cotA,cotB...

    Text Solution

    |

  9. In triangle ABC tan(A/2), tan(B/2) and tan (C/2) are in A.P. then prov...

    Text Solution

    |

  10. If in triangleABC ,a^4+b^4+c^4=2c^2(a^2+b^2) then find angleC

    Text Solution

    |

  11. In any triangle ABC if cosA=sinB-cosC then show that any angle of the...

    Text Solution

    |

  12. In any triangle ABC prove that a^2cotA+b^2cotB+c^2cotC=(abc)/R

    Text Solution

    |

  13. in any triangle ABC prove that (b-c)/acos^2(A/2)+(c-a)/(b)cos^2(B/2)+(...

    Text Solution

    |

  14. In triangle ABC if the angles A,B and C be in A.P. then show that 2co...

    Text Solution

    |

  15. In triangle ABC if cosAcosB +sinAsinB sinC=1 then prove that a:b:c=1:1...

    Text Solution

    |

  16. In triangleABC (b+c)/11=(c+a)/12=(a+b)/13 then prove that (cosA)/7=(co...

    Text Solution

    |

  17. in triangleABC if (a^2+b^2)/(a^2-b^2)=sin(A+B)/sin(A-B) then prove th...

    Text Solution

    |

  18. In triangleABC if a/(b+c)=tan(A/2) the show that A+C=pi/2

    Text Solution

    |

  19. if the lengths of sides of a triangle be 1-2x,(x^2-x+1 and (x^2-1) the...

    Text Solution

    |

  20. If in triangleABC ,sin^4A+sin^4B+sin^4C=sin^2Bsin^2C+2sin^2Csin^2A+2si...

    Text Solution

    |