Home
Class 12
MATHS
In triangle ABC, prove that tan(B+C)/2...

In triangle ABC, prove that ` ` tan(B+C)/2=cot(A/2)`

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MBD PUBLICATION|Exercise QUESTION BANK|523 Videos

  • VECTORS

    MBD PUBLICATION|Exercise QUESTION BANK|138 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC prove that sum a^3 sin(B-C)= 0

In triangle ABC , prove that cos(A+B)+sinC=sin(A+B)-cosC

If M is the midpoint of the side vec(BC) of a triangle ABC, prove that vec(AB)+vec(AC) = 2vec(AM)

In Delta ABC prove that 1-tan(A/2) tan (B/2) = c/s

In Delta ABC prove that (b+c-a)(cotB/2 + cot C/2) = 2a cotA/2

In Delta ABC prove that (b-c)cot(A/2) + (c-a)cot(B/2) + (a-b)cot(C/2) = 0

In Delta ABC prove that (b+c-a) tan A/2 = (c+a-b) tanB/2 = (a+b-c) tanC/2

In a triangle ABC "if" m/_A =90^@, "prove that "tan"^(-1) b/(a+b) +"tan"^(-1) c/(a+b) =pi/4 . where a,b,c, are sides of the triangle.

MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If tan A=1/5, tanB=2/3show that cos2A=sin2B

    Text Solution

    |

  2. If cos2A=tan^2B then show that cos 2B=tan^2A

    Text Solution

    |

  3. In triangle ABC, prove that tan(B+C)/2=cot(A/2)

    Text Solution

    |

  4. In triangle ABC , prove that cos(A+B)+sinC=sin(A+B)-cosC

    Text Solution

    |

  5. If A+B+C=pi and cosA=cosB.cosC show that tanB+tanC=tanA

    Text Solution

    |

  6. If A+B+C=pi and cosA=cosB.cosC show that 2cotB.cotC=1

    Text Solution

    |

  7. Prove the following : cos(A-D)sin(B-C)+cos(B-D)sin(C-A)+cos(C-D)sin(A-...

    Text Solution

    |

  8. Prove the following : sin2A+sin2B+sin2(A-B) = 4sinA.cosB.cos(A-B)

    Text Solution

    |

  9. Prove the following : cos2A+cos2B+cos2(A-B)+1 = 4cosA.cosB.cos(A-B)

    Text Solution

    |

  10. Prove the following : sin2A+sin2B+sin2C-sin2(A+B+C) 4sin(B+C)sin(C+A...

    Text Solution

    |

  11. Prove the following : sinA+sin3A+sin5A =sin3A(1+2cos2A)

    Text Solution

    |

  12. Prove the following : sinA-sin3A+sin5A = sin3A(2cos2A-1)

    Text Solution

    |

  13. Prove the following : cos(A+B)+sin(A-B) 2sin(45^@+A)cos(45^@+B)

    Text Solution

    |

  14. Prove the following : cos4A-cos4B = 8(cosA-cosB)(cosA+cosB)(cosA-sin...

    Text Solution

    |

  15. Prove the following : (1-tan^2(45^@-A))/(1+tan^2(45^@-A)) = sin2A

    Text Solution

    |

  16. Prove the following : (cosA+sinA)/(cosA-sinA)-(cosA-sinA)/(cosA+sinA) ...

    Text Solution

    |

  17. Prove the following : (1-cos2A+sin2A)/(1+cos2A+sin2A) = tanA

    Text Solution

    |

  18. Prove the following : (sin(A+B)+cos(A-B))/(sin(A-B)+cos(A+B)) = sec2...

    Text Solution

    |

  19. Prove the following : (cos7alpha+cos3alpha-cos5alpha-cosalpha)/(sin7al...

    Text Solution

    |

  20. Prove the following : (sintheta+sin3theta+sin5theta+sin7theta)/(costhe...

    Text Solution

    |