Home
Class 11
MATHS
x+1/x=2cosalpha then x^n+1/x^n=...

`x+1/x=2cosalpha` then `x^n+1/x^n=`

A

`2 ^(n) cos alpha `

B

`2^(n) cos n alpha `

C

`2i sin n alpha `

D

`2 cos n alpha `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos
  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|60 Videos
  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

If x+1/x=-2 then x^(2n+1)+1/(x)^(2n+1)=

If ((1 +i)/(1 -i))^(x) =1 , then (A) x=2n+1 (B) x=4n (C) x=2n (D) x=4n+1, n in N.

(lim)_(x->0)((1^x+2^x+3^x++n^x)/n)^(1/x)\ is equal to (n\ !)\ ^n b. (n !)^(1//n) c. n ! d. "ln"(n !)

If 1+x^(2)=sqrt(3)x, then sum_(n=1)^(24)(x^(n)-(1)/(x^(n))) is equal to

Prove that the coefficients of x^(n) in (1+x)^(2n) is twice the coefficient of x^(n) in (1+x)^(2n-1)

Prove that he coefficient of x^n in the expansion of (1+x)^(2n) is twice the coefficient of x^(n) in the expansion of (1+x)^(2n-1)

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES -COMPETITIVE THINKING
  1. If 8cos2theta+8sec2theta=65,0ltthetaltpi/2, then the value of 4cos4the...

    Text Solution

    |

  2. If 5(tan^2x - cos^2x)=2cos 2x + 9, then the value of cos4x is

    Text Solution

    |

  3. x+1/x=2cosalpha then x^n+1/x^n=

    Text Solution

    |

  4. If sin x + cos x = 1/5, then tan 2x is

    Text Solution

    |

  5. If A lies in the third quadrant and 3 tan A-4 = 0, then 5 sin 2A + 3si...

    Text Solution

    |

  6. If a tan theta = b, then a cos 2 theta+ b sin 2 theta =

    Text Solution

    |

  7. If a cos 2 theta + b sin 2 theta =c has alpha and beta as its solut...

    Text Solution

    |

  8. If alpha, beta are solutin of 6 cos theta + 8 sin theta=9, then sin (...

    Text Solution

    |

  9. If alpha is a root of 25cos^2theta+5costheta-12=0,pi/2ltalphaltpi the ...

    Text Solution

    |

  10. 2 cos ^(2) theta - 2 sin ^(2) theta =1, then theta =

    Text Solution

    |

  11. 2 sin A cos ^(3) A-2 sin ^(3) A cos A=

    Text Solution

    |

  12. sin^4\ pi/8 + sin^4\ (3pi)/8 + sin^4\ (5pi)/8 + sin^4\ (7pi)/8=

    Text Solution

    |

  13. 3(sin x- cos x )^(4) + 6(sin x+ cos x )^(2) +4 (sin ^(6) x+ cos ^(6) x...

    Text Solution

    |

  14. If sin 2 theta + sin 2 phi =1/2 and cos 2 theta + cos 2 phi =3/2, then...

    Text Solution

    |

  15. If n=1,2,3,......., then cosalphacos2alphacos4alpha.......cos2^(n-1)a...

    Text Solution

    |

  16. cos ""(2pi)/( 15) cos ""(4pi)/(15) cos ""(8pi)/(15) cos ""(16pi)/(15)=

    Text Solution

    |

  17. If K=sin(pi/(18))sin((5pi)/(18))sin((7pi)/(18)), then the numerical va...

    Text Solution

    |

  18. The value of sinpi/(14)sin(3pi)/(14)sin(5pi)/(14)sin(7pi)/(14)sin(9pi)...

    Text Solution

    |

  19. The value of sin ""31/3pi is

    Text Solution

    |

  20. Find the value tan (pi/5)+2tan((2pi)/5)+4cot((4pi)/5).

    Text Solution

    |