Home
Class 12
MATHS
If the side lengths a,b and c are in A.P...

If the side lengths a,b and c are in A.P. prove that
cot (A/2),cot (B/2),cot (C/2) are in A.P `.

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

If the side lengths a,b and c are in A.P. then prove that cos ((A-C)/2) = 2sin (B/2)

If a^2,b^2,c^2 being A.P prove that cotA,cotB,cotC are also In A.P.

Prove that cotA-tanA=2cot2A

Prove that cotA-cosec2A=cot2A

Prove that cot(A/2)=sinA/(1-cosA)

If a^2,b^2,c^2 are in A.P. prove that 1/(b+c),1/(c+a),1/(a+b) are in A.P.

Prove that cot2A=(cot^2A-1)/(2cotA)

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

MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. In Delta ABC prove that a^3cos(B-C) + b^3cos(C-A) + c^3 cos(A-B) = 3...

    Text Solution

    |

  2. In Delta ABC prove that a(cosB + cosC) = 2(b+c) sin^2(A/2)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. In Delta ABC prove that (a-b)^2 cos^2(C/2) + (a+b)^2 sin^2(C/2)= c^...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. In Delta ABC prove that cotA + cotB + cotC = (a^2 + b^2 + c^2)/(4Del...

    Text Solution

    |

  9. If 1/(a+c)+ 1/(b+c) = 3/(a+b+c) Then prove C = 60^@.

    Text Solution

    |

  10. If a = 2b and A = 3B find the measure of the angle of the triangle.

    Text Solution

    |

  11. If a^4 + b^4 + c^4 = 2c^2 (a^2 + b^2), prove that angle ACB = 45^@ o...

    Text Solution

    |

  12. If x^2 + x + 1, 2x+1 and x^2 - 1 are lengths of sides of a triangle, t...

    Text Solution

    |

  13. If cosB = (sinA)/(2sinC) prove that the triangle is isosceles.

    Text Solution

    |

  14. If a tan A + b tanB = (a+b) tan ((A+B)/2) prove that the triangle is i...

    Text Solution

    |

  15. If (cosA + 2cosC) : (cosA + 2cosB) = sinB : sinC prove that the tria...

    Text Solution

    |

  16. If cos A = sinB - cosC prove triangle is right angled.

    Text Solution

    |

  17. If a^2,b^2,c^2 being A.P prove that cotA,cotB,cotC are also In A.P.

    Text Solution

    |

  18. If sinA : sinC = sin(A-B): sin(B-C) prove that a^2,b^2,c^2 are in A.P.

    Text Solution

    |

  19. If the side lengths a,b and c are in A.P. then prove that cos ((A-C)...

    Text Solution

    |

  20. If the side lengths a,b and c are in A.P. prove that cot (A/2),cot (...

    Text Solution

    |