Home
Class 12
MATHS
If ((1+costheta+isintheta)/(sintheta+i+i...

If `((1+costheta+isintheta)/(sintheta+i+icostheta))^(4)=cosntheta+isinntheta` then n=

A

4

B

8

C

6

D

2

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

(1+sintheta+icostheta)^(n)

(1+costheta-isintheta)^(n)

(1-costheta+isintheta)^(6)

((1+sintheta+icostheta)/(1+sintheta-icostheta))^(n)

((1+costheta+isintheta)/(1+costheta-isintheta))^(n)

(1-costheta+isintheta)/(1+costheta-isintheta)

|1+costheta+isintheta|=

(1+cos theta+i sintheta)^n=

(1+costheta-isintheta)^4 =

(1-costheta+isintheta)^8 =

DIPTI PUBLICATION ( AP EAMET)-DE MOIVRE'S THEOREM-EXERCISE 1
  1. (cos75^(@)+isin75^(@))/(cos30^(@)+isin30^(@))

    Text Solution

    |

  2. ((1)/(2)+sqrt(3)/(2)i)^(6)

    Text Solution

    |

  3. If ((1+costheta+isintheta)/(sintheta+i+icostheta))^(4)=cosntheta+isinn...

    Text Solution

    |

  4. ((1+cos""(pi)/(8)-isin""(pi)/(8))/(1+cos""(pi)/(8)+isin""(pi)/(8)))^(8...

    Text Solution

    |

  5. [(1+sin(pi//8)+icos(pi//8))/(1+sin(pi//8)-icospi//8)]^(-8//3)

    Text Solution

    |

  6. ((sinpi//8+icospi//8)/(sinpi//8-icospi//8))^(8)

    Text Solution

    |

  7. ((1+sintheta+icostheta)/(1+sintheta-icostheta))^(n)

    Text Solution

    |

  8. If n is a positive integer, show that (1 + i)^(n) + (1 - i)^(n)...

    Text Solution

    |

  9. (1+i)^(5)+(1-i)^(5)

    Text Solution

    |

  10. (sqrt3+i)^(7)+(sqrt3-i)^(7)

    Text Solution

    |

  11. If n is a positive integer and (1+i)^(2n)+(1-i)^(2n)=kcos(npi//2) then...

    Text Solution

    |

  12. If n is a positive niteger, then (sqrt3+i)^(n)+(sqrt3-i)^(n)

    Text Solution

    |

  13. If n is a positive integer and (1+isqrt3)^(n)+(1-isqrt3)^(n)=2^(n+1)co...

    Text Solution

    |

  14. If n is an integer which leaves remainder one when divided by three, t...

    Text Solution

    |

  15. ((-1+isqrt3)/(2))^(3n)+((-1-isqrt3)/(2))^(3n)

    Text Solution

    |

  16. (1+costheta+isintheta)^(n)+(1+costheta-isintheta)^(n)

    Text Solution

    |

  17. (costheta+isintheta)^(10)+(costheta-isintheta)^(10)

    Text Solution

    |

  18. If n is a positive integer, then (a+ib)^(m//n)+(a-ib)^(m//n)

    Text Solution

    |

  19. [(cos alpha-cos beta)+i(sin alpha-sinbeta)]^n+[(cos alpha-cos beta)-i(...

    Text Solution

    |

  20. If (sqrt3+i)^(100)=2^(99)(a+ib) then b=

    Text Solution

    |