Home
Class 12
MATHS
If x satisfies the equation x^(2)-2xcost...

If x satisfies the equation `x^(2)-2xcostheta+1=0`, then the value of `x^(n)+1//x^(n)` is

A

`2^(n)cosntheta`

B

`2^(n)cos^(n)theta`

C

`2cosntheta`

D

`2cos^(n)theta`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1|5 Videos
  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2|3 Videos
  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4|3 Videos
  • COORDINATE SYSTEM (3D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET- 4)|3 Videos
  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUSTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1,2,3 OR 4 GIVEN (SET-4)|8 Videos

Similar Questions

Explore conceptually related problems

If x satisfies the equation x^2-2xcostheta+1=2costheta ,then the value of x^n+1//x^n is

Let cos^(-1)(x)+cos^(-1)(2x)+cos^(-1)(3x)" be "pi . If x satisfies the equation ax^(3)+bx^(2)+cx-1=0 then the value of (b-a-c) is

If x^(2)-2xcostheta+1=0 , then x^(2n)-2x^(n)cosntheta+1

All the values of x satisfying the equation 2 tan^ (-1) 2x = sin ^(-1)""((4x )/(1+ 4 x ^(2))) lie in the interval

The equation whose roots are the n th powers of the roots of the equation x^(2)-2xcostheta+1=0 is

The value of the integral I=int_(0)^(1)x(1-x)^(n) is

If A and B are coefficients of x^(n) in the expansion of (1+x)^(2n) and (1+x)^(2n-1) respectively, then find the value of (A)/(B) .

Let alpha and beta be the roots of equation x^2-6x -2=0 . If a_n=alpha ^n - beta ^n , for n ge 1 then the value of (a_10-2a_s)/(2a_9) is equal to

DIPTI PUBLICATION ( AP EAMET)-DE MOIVRE'S THEOREM-EXERCISE 1
  1. If alpha,beta are roots of the equation x^(2)-4x+8=0 then for any ninN...

    Text Solution

    |

  2. If alphaandbeta are the roots of x^(2)-2x+4=0, then the value of alpha...

    Text Solution

    |

  3. If x satisfies the equation x^(2)-2xcostheta+1=0, then the value of x^...

    Text Solution

    |

  4. If a=cos4pi//3+isin4pi//3" then "(1+a)^(3n)

    Text Solution

    |

  5. If cosalpha+cosbeta=0=sinalpha+sinbeta" then "cos2alpha+cos2beta

    Text Solution

    |

  6. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma" then "cos3al...

    Text Solution

    |

  7. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma" then "sin3al...

    Text Solution

    |

  8. If cos alpha+cosbeta+cosgamma = 0 = sinalpha + sinbeta + singamma then...

    Text Solution

    |

  9. If cosalpha+cosbeta+cosgamma=0=sin alpha+sinbeta+singamma then cos^2al...

    Text Solution

    |

  10. If cos alpha+cosbeta+cosgamma = 0 = sinalpha + sinbeta + singamma then...

    Text Solution

    |

  11. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(2alp...

    Text Solution

    |

  12. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then sin(2alp...

    Text Solution

    |

  13. If cosalpha+coabeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(alph...

    Text Solution

    |

  14. If a=cisalpha,b=cisbeta,c=cisgamma, and a/b+b/c+c/a-1=0 then cos(alph...

    Text Solution

    |

  15. Let A and B denote the statements A:cosalpha+cosbeta+cosgamma=0" ...

    Text Solution

    |

  16. The value of (i)^(i) is

    Text Solution

    |

  17. log(logi)

    Text Solution

    |

  18. sqrti+sqrt(-i)=

    Text Solution

    |

  19. One value of (1+i)^(1//2) is 2^(1//4)e^(ipi//8).The other value is

    Text Solution

    |

  20. The modulus of sqrt2i-sqrt(-2i) is

    Text Solution

    |