Home
Class 11
MATHS
Let f(n)=2 cos nx AA n in N, then f(1)f(...

Let `f(n)=2 cos nx AA n in N`, then `f(1)f(n+1)-f(n)` is equal to

A

`f (n +3)`

B

`f (n +2)`

C

`f ( n+1) f (2)`

D

`f (n +1) f (2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise LACTURE SHEET (EXERCISE-I More than One correct answer Type Questions)|5 Videos
  • TRANSFORMATIONS

    AAKASH SERIES|Exercise LACTURE SHEET (EXERCISE-I Linked Comprehnsion Type Questions)|5 Videos
  • TRANSFORMATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCIE) (LEVEL-I SINGLE ANSWER TYPE QUESTIONS)|38 Videos
  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|2 Videos

Similar Questions

Explore conceptually related problems

If int_(n)^(n+1) f(x) dx = n^(2) +n, AA n in I then the value of int_(-3)^(3) f(x) dx is equal to

Let f(n)=1 + 1/2 + 1/3 + ......+1/n , Then f(1)+f(2)+f(3)+.....+f(n) is equal to

If g is the inverse of f and f'(x) = 1/(2+x^n) , then g^(1)(x) is equal to

Let f(n)= [(1)/(3) + (3n)/(100)]n , where [n] denotes the greatest integer less than or equal to n. Then Sigma_(n=1)^(56) f(n) is equal to

Let f(x)=(x-1)^(4)(x-2)^(n) , n inN . Then f(x) has

If f(1)=1, f(n+1)=2f(n)+1, n ge1 , then f(n) is

If a polynomial of degree 'n' satisfies f(x)= f'(x) f^(11) (x) AA n in R " then " f(x) is

AAKASH SERIES-TRANSFORMATIONS -LACTURE SHEET (EXERCISE-I Straight Objective Type Questions)
  1. If alpha = (2pi )/(7) , then tan alpha tan 2 alpha + tan 2 alpha tan 4...

    Text Solution

    |

  2. sin "" (2pi)/(7) + sin "" (4pi)/(7) + sin "" (8pi)/(7) =

    Text Solution

    |

  3. sin "" (pi)/(7) sin "" (2pi)/(7) sin "" (4pi )/(7)=

    Text Solution

    |

  4. If A,B,C,D are four angles then sin (A-B) cos (A+B) + sin B (B-C) .c...

    Text Solution

    |

  5. If (x)/(y) = (cos A)/( cos B) then (x tan A +y tan B)/(x +y) =

    Text Solution

    |

  6. If a triangle ABC, cos A + cos B + cos C

    Text Solution

    |

  7. Let 0 lt A, B lt (pi)/(2) satisfying the equation 3 sin ^(2) A + 2 sin...

    Text Solution

    |

  8. If (cos x)/(a) = (cos(c + theta))/(b) = (cos (x + 2 theta))/© = (cos (...

    Text Solution

    |

  9. If theta(1) , theta (2) , theta(3) …..theta (n) are in A.P. then (sin...

    Text Solution

    |

  10. If x = sin alpha + sin beta, y = cos alpha + cos beta then tan alpha ...

    Text Solution

    |

  11. Let f(n)=2 cos nx AA n in N, then f(1)f(n+1)-f(n) is equal to

    Text Solution

    |

  12. If alpha, beta , gamma do not differ by a multiple of a pi and if ( co...

    Text Solution

    |

  13. If cos 2B=(cos (A+C))/(cos(A-C)) , then tan A , tan B , tan C are in

    Text Solution

    |

  14. If xy+yz+zx=1, " then " (x)/( 1+x^(2))+(y)/(1+y^2)+(z)/(1+z^(2))=

    Text Solution

    |

  15. The minimum value of expression sin alha + sin beta + sin gamma where...

    Text Solution

    |

  16. If cos A+ cos B + cos C =0 then cos 3A+ cos 3B + cos 3X

    Text Solution

    |

  17. In a triangle ABC

    Text Solution

    |

  18. In a Delta ABC, sin ^(4) A + sin ^(4) B + sin ^(4) C =

    Text Solution

    |

  19. If A+B+C=pi then |(sin^(2)A,cotA,1),(sin^(2)B,cotB,1),(sin^(2)C,cotC,1...

    Text Solution

    |

  20. If cos alpha + cos beta = 3/2 and sin alpha + sin beta = 1/2 and theta...

    Text Solution

    |