Home
Class 11
MATHS
let a1,a2,...an be in A.P. wth common di...

let `a_1,a_2,...a_n` be in A.P. wth common difference `pi/6`. if `seca_1seca_2+seca_2seca_3+....seca_(n-1)seca_n`=`k(tana_n-tana_1)`Find the value of k

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    CENGAGE ENGLISH|Exercise All Questions|173 Videos
  • PROBABILITY

    CENGAGE ENGLISH|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

If a_1, a_2, a_n are in A.P. with common difference d!=0 , then the sum of the series sind[seca_1seca_2+seca_2seca_3+....+s e ca_(n-1)seca_n] is : a. cos e ca_n-cos e ca b. cota_n-cota c. s e ca_n-s e ca d. t a na_n-t a na

If a_1,a_2,a_3,…………..a_n are in A.P. whose common difference is d, show tht sum_2^ntan^-1 d/(1+a_(n-1)a_n)= tan^-1 ((a_n-a_1)/(1+a_na_1))

If a_1,a_2,a_3,……..a_n, a_(n+1),…….. be A.P. whose common difference is d and S_1=a_1+a_2+……..+a_n, S_2=a_(n+1)+………..+a_(2n), S_3=a_(2n+1)+…………+a_(3n) etc show that S_1,S_2,S_3, S_4………… are in A.P. whose common difference is n^2d .

If a_1, a_2, a_3,.....a_n are in H.P. and a_1 a_2+a_2 a_3+a_3 a_4+.......a_(n-1) a_n=ka_1 a_n , then k is equal to

If a_1,a_2,……….,a_n are in H.P. then expression a1a2+a2a3+......+a_n-1an

Prove: (secA+tanA-1)(secA-tanA+1)=2tanA

Let a_1, a_2, a_3, ...a_(n) be an AP. then: 1 / (a_1 a_n) + 1 / (a_2 a_(n-1)) + 1 /(a_3a_(n-2))+......+ 1 /(a_(n) a_1) =

If a_1,a_2,a_3, ,a_n are an A.P. of non-zero terms, prove that 1/(a_1a_2)+1/(a_2a_3)++1/(a_(n-1)a_n)= (n-1)/(a_1a_n)

If a_1, a_2,...... ,a_n >0, then prove that (a_1)/(a_2)+(a_2)/(a_3)+(a_3)/(a_4)+.....+(a_(n-1))/(a_n)+(a_n)/(a_1)> n

Let A_1 , A_2 …..,A_3 be n arithmetic means between a and b. Then the common difference of the AP is

CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
  1. In how many ways can 2t+1 identical balls be placed in three distinct ...

    Text Solution

    |

  2. Sohan has x children by his first wife. Geeta has (x+1) children by he...

    Text Solution

    |

  3. let a1,a2,...an be in A.P. wth common difference pi/6. if seca1seca2+s...

    Text Solution

    |

  4. Six apples and six mangoes are to be distributed among ten boys so ...

    Text Solution

    |

  5. Find the number of ways in which we can choose 3 squares on a chess...

    Text Solution

    |

  6. If alpha=^m C2,t h e n^(alpha)C2 is equal to a. ^m+1C4 b. ^m-1C4 ...

    Text Solution

    |

  7. Statement 1: ((n^2)!)/((n !)^n) is natural number of for all n in ...

    Text Solution

    |

  8. Number of ways in which 7 people can occupy 6 seats, 3 seats on each...

    Text Solution

    |

  9. There are 20 books on Algebra and Calculus in one library. For the ...

    Text Solution

    |

  10. Let Pn denotes the number of ways in which three people can be selecte...

    Text Solution

    |

  11. An n-digit number is a positive number with exactly n Nine hundred dis...

    Text Solution

    |

  12. There are 2 women participating in a chess tournament. Every partic...

    Text Solution

    |

  13. Five balls of different color are to be placed in three boxes of dif...

    Text Solution

    |

  14. A seven-digit number without repetition and divisible by 9 is to be fo...

    Text Solution

    |

  15. n is selected from the set {1, 2, 3,.............,100} and the number ...

    Text Solution

    |

  16. Messages are conveyed by arranging four white, one blue, and three ...

    Text Solution

    |

  17. 20 persons are sitting in a particular arrangement around a circula...

    Text Solution

    |

  18. The number of three digit numbers of the form xyz such that x lt y , z...

    Text Solution

    |

  19. A is a set containing n different elements. A subset P of A is chosen....

    Text Solution

    |

  20. Numbers greater than 1000 but not greater than 4000 which can be fo...

    Text Solution

    |