Home
Class 11
MATHS
Given that three numbers a,b,c are in G....

Given that three numbers a,b,c are in G.P.If `b^2=ac` Prove that `cot^2 30^@ , cot^2 45^@ , cot^2 60^@` are in G.P.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

Prove that tan225^@ cot405^@+tan675^@ cot315^@=2

Suppose a^2,b^2,c^2 are in A.P. Prove that 2b^2=a^2+c^2

Suppose that a, b, c are in A.P. Prove that 2b = a + c

Prove that cotx cot2x -cot2xcot3x-cot3xcotx=1

If a,b,c,d are in G.P. prove that (a^n+b^n),(b^n+c^n),(c^n+d^n) are in G.P.

If a, b, c are in A.P, b, c, d are in G.P. and 1/c , 1/d,1/e are in A. P . Prove that a, c, e are in G.P.

If a,b,c are in A.P. b,c,d are in G.P. and 1/c,1/d,1/e are in A.P. prove that a,c,e are in G.P.

Suppose that a, b, c are in A.P. Prove that a^2(b+c),b^2(c+a),c^2(a+b) are in A.P.

A N EXCEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Match the following:

    Text Solution

    |

  2. Nikolas is asked to prove that cos^2 x+cos^4 x=1 if sinx+sin^2x=1 He p...

    Text Solution

    |

  3. Given that three numbers a,b,c are in G.P.If b^2=ac Prove that cot^2 3...

    Text Solution

    |

  4. Match the following:

    Text Solution

    |

  5. Prove that sin105^@+cos105^@=cos45^@

    Text Solution

    |

  6. Choose the correct answer from the bracket and fill in the blank sin(B...

    Text Solution

    |

  7. Prove that cosAsin(B-C)+cosBsin(C-A)+cosCsin(A-B)=0

    Text Solution

    |

  8. A wheel is rotated pi/2 radians. Convert the angle of rotation into de...

    Text Solution

    |

  9. A wheel is rotated pi/2 radians. Convert the angle of rotation into de...

    Text Solution

    |

  10. Evaluate the following tan((13pi)/3)

    Text Solution

    |

  11. Given that sinx+siny=a and cosx+cosy=b rajan derived the value of tan(...

    Text Solution

    |

  12. Prove that cotA-tanA=2cotA

    Text Solution

    |

  13. using cotA-tanA=2cot2A deduce that tanalpha+tan2 alpha+4tan4alpha+8co...

    Text Solution

    |

  14. What is the value of tan30^@+2tan60^@+4tan120^@+8cot240^@? Also verify...

    Text Solution

    |

  15. Match the following:

    Text Solution

    |

  16. Prove that tan^2 60^@+4cos^2 45^@+3sec^2 30^@+5cos^2 90^@=9

    Text Solution

    |

  17. Suppose theta is an acute angle and tantheta+cot theta=2 Derive a quad...

    Text Solution

    |

  18. Suppose theta is an acute angle and tantheta+cot theta=2 solve the gi...

    Text Solution

    |

  19. Suppose A and B are angles lying in the first quadrant such that tanA=...

    Text Solution

    |

  20. Suppose A and B are angles lying in the first quadrant such that tanA=...

    Text Solution

    |