Home
Class 11
MATHS
In triangleABC if angleA=60^@ then show ...

In `triangleABC` if `angleA=60^@` then show that `(b+c)/a=2cos((B-C)/2)`

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 the triangle ABC, if A =60^(@) , show that, b+c = 2acos[(B-C)/2]

In triangleABC angleC=90^@ then show that (a^2+b^2)/(a^2-b^2)sin(A-B)=1

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

In triangle ABC if A=60^(@) , show that cos^(2)B+ cos^(2)C+ cos B cosC =(3)/(4) .

If C=60^(@) , show that, 2a-b = 2 c cosB

In triangle ABC if the angles A,B and C be in A.P. then show that 2cos ((A-C)/2)=(a+c)/sqrt(a^2-ac+c^2)

If A, B and C are interior angles of a triangle ABC, then show that sin((B+C)/2) =Cos (A/2) ​

If A , B and C are interior angles of triangle ABC ,then show that sin ((B+C)/( 2) )=cos (A/2)

In triangleABC angleA = 60^(@) , then the value of (1 + a/c + b/c)(1+ c/b - a/b) will be-

In triangleABC,sin((B+C)/2) =

PATHFINDER-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. a,b,c are the lengths of sides of triangleABC and 1/(a+c)+1/(b+c)=3/(a...

    Text Solution

    |

  2. In triangleABC show that a=bcosC+ccosB

    Text Solution

    |

  3. In triangleABC if angleA=60^@ then show that (b+c)/a=2cos((B-C)/2)

    Text Solution

    |

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

    Text Solution

    |

  5. In triangleABC angleC=90^@ then show that (a^2+b^2)/(a^2-b^2)sin(A-B)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |