Home
Class 12
MATHS
If a(1), a(2), …..,a(n) are in A.P. with...

If `a_(1), a_(2), …..,a_(n)` are in A.P. with common difference `d ne 0,` then the sum of the series sin `d[sec a_(1) sec a_(n-1) sec a_(n)]` is

A

sin d

B

cos d

C

cosec d

D

sin d cos d

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise EXERCISE -1 : Concept Builder|60 Videos

  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos

  • SETS

    DISHA PUBLICATION|Exercise EXERCISE-2 : CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

If a_(1), a_(2), …..,a_(n) are in A.P. with common difference d ne 0, then the sum of the series sin d[sec a_(1)sec a_(2) +..... sec a_(n-1) sec a_(n)] is

If a_(1),a_(2),a_(3),...a_(n) are in A.P with common difference d then find the sum of the following series sin d(cos eca_(1)cos eca_(2)+cos eca_(2)cos eca_(3)+....cos eca_(n-1)cos eca_(n))

If a_(1),a-(2),a_(3),………….a_(n) are in A.P. with common differecne d, prove that sin [cosec a_(1)coseca_(2)+cosec a_(2)cosec a_(3)+………….+cosec a_(n-1)cosec a_(n)]=cota_(1)-cota_(n) .

If a_(1),a_(2),...,a_(n) be an A.P. of positive terms, then

If a_(1),a_(2),a_(3),a_(4) and a_(5) are in AP with common difference ne 0, find the value of sum_(i=1)^(5)a_(i) " when " a_(3)=2 .

If a_(1), a_(2), a_(3),...., a_(n) is an A.P. with common difference d, then prove that tan[tan^(-1) ((d)/(1 + a_(1) a_(2))) + tan^(-1) ((d)/(1 + a_(2) a_(3))) + ...+ tan^(-1) ((d)/(1 + a_( - 1)a_(n)))] = ((n -1)d)/(1 + a_(1) a_(n))

If a_(1),a_(2),a_(3),...a_(n) are in arithmetic progression with common difference d, then evaluate the following expression: tan{tan^(-1)((d)/(1+a_(1)a_(2)))+tan^(-1)((d)/(1+a^(2)a_(3)))+tan^(-1)((d)/(1+a_(3)a_(4)))+...+tan^(-1)((d)/(1+a_(n-1)a_(n)))}

DISHA PUBLICATION-SEQUENCES AND SERIES -Exercise -2 : Concept Applicator
  1. If a(1), a(2), …..,a(n) are in A.P. with common difference d ne 0, the...

    Text Solution

    |

  2. If 1,log9(3^(1-x)+2), log3(4*3^x-1) are in A.P then x equals to

    Text Solution

    |

  3. In the coefficients of rth, (r+1)t h ,a n d(r+2)t h terms in the binom...

    Text Solution

    |

  4. The minimum value of (x^4+y^4+z^2)/(x y z) for positive real numbers x...

    Text Solution

    |

  5. If every even term of a series is a times the term before it and every...

    Text Solution

    |

  6. If y=3^(x-1)+3^(-x-1) (where, x is real), then the leastvalue of y is

    Text Solution

    |

  7. Let a1, a2, a3, ...an be an AP. Prove that: 1 / (a1 an) + 1 / (a2 a(n-...

    Text Solution

    |

  8. Concentric circles of radii 1,2,3,. . . . ,100 c m are drawn. The inte...

    Text Solution

    |

  9. If log(e)5, log(e)(5^(x) -1) and log(e)(5^(x)-(11)/(5)) are in A.P the...

    Text Solution

    |

  10. If a ,b ,c are the sides of a triangle, then the minimum value of a/(b...

    Text Solution

    |

  11. The value of 1/(2!) +2/(3!) +...+999/(1000!) is equal to

    Text Solution

    |

  12. If a,b,c are in H.P.then which one of the following is true

    Text Solution

    |

  13. If a,b,c and the d are in H.P then find the vlaue of (a^(-2)-d^(-2))/(...

    Text Solution

    |

  14. The odd value of n for which 704 + 1/2 (704) + 1/4 (704) + ... upto n ...

    Text Solution

    |

  15. If (1-p)(1+3x+9x^2+27 x^3+81 x^4+243 x^5)=1-p^6p!=1 , then the value o...

    Text Solution

    |

  16. The harmonic mean of (a)/(1 - ab) and (a)/(1 + ab) is :

    Text Solution

    |

  17. The sum of the infinite series(2^(2))/(2!) + (2^(4))/(4!) + (2^(6))/(6...

    Text Solution

    |

  18. If a,b,c re in H.Pthen which one of the following is true

    Text Solution

    |

  19. ABC is a right angled triangle in which /B=90^(@) and BC=a. If n point...

    Text Solution

    |

  20. If S(1), S(2), S(3),...,S(n) are the sums of infinite geometric series...

    Text Solution

    |