Home
Class 12
MATHS
The real value of thetafor which the exp...

The real value of `theta`for which the expression is
`(1+icos theta)/(1-i cos theta)` is a real number is

A

`2 n pi+pi`

B

`2 n pi pm (pi)/(2)`

C

`(2 n-1) pi`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos

Similar Questions

Explore conceptually related problems

The real value of alpha for which the expression (1-i sin alpha)/(1+2 i sin alpha) is purely real is

Find real value of theta for which (3+2i sin theta)/(1-2i sin theta) is purely real.

(sin 2 theta)/(1-cos 2 theta)=cot theta

(1+cos 2 theta)/(sin 2 theta)=cot theta

The general value of theta which satisfies the equation (cos theta + i sin theta) (cos 3 theta + I sin 3 theta) ….. {cos(2n - 1) theta + I sin (2n - 1) theta} = 1 is

The general value of theta which satisfies the equation (cos theta + isin theta) (cos 3theta+ isin3theta)…[cos(2n-1)theta+isin(2n-1)theta]=1 is

Prove the following identities , where the angles involved are acute angles for which the expressions are defined. (i) ( cosec theta - cot theta ) ^ 2 = ( 1 - cos theta ) /( 1 + cos theta )

The value of lim_(theta to 0)(1-cos 4theta)/(1-cos 6 theta) is

lim_(theta rarr 0) (1-cos theta)/(theta. costheta)=

The real part of (1)/(1-cos theta+i sin theta) is

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If ((1+i sqrt(3))/(1-i sqrt(3)))^(n) is an integer, then n=

    Text Solution

    |

  2. The value of (1+omega^(2)+2 omega)^(3 n)-(1+omega+2 omega^(2))^(3 n)=

    Text Solution

    |

  3. The real value of thetafor which the expression is (1+icos theta)/(1...

    Text Solution

    |

  4. Let z=x+ iy then z . bar(z)=0 if and only if

    Text Solution

    |

  5. (3+2 i sin theta)/(1-2 i sin theta) will be purely imaginary, if theta...

    Text Solution

    |

  6. If the cube root of unity are 1,omega,omega^(2), then the roots of the...

    Text Solution

    |

  7. If z is a complex number such that z=-bar(z) then

    Text Solution

    |

  8. The complex number (1+2i)/(1-i) lies in

    Text Solution

    |

  9. If P is the point in the Argand diagrma correspoinding to the complex ...

    Text Solution

    |

  10. The smallest positive integral value of ' n ' such that [(1+sin (pi)...

    Text Solution

    |

  11. The least positive integer n, for which ((1+i)^(n))/((1-i)^(n-2))is po...

    Text Solution

    |

  12. If x+i y=(-1+i sqrt(3))^(2010), then x=

    Text Solution

    |

  13. The value of |(1+i sqrt(3))/((1+(1)/(i+1))^(2))|=

    Text Solution

    |

  14. If omega is an imaginary cube root of unity ,then the value of (1-omeg...

    Text Solution

    |

  15. If P(x, y) denotes z=x+i y in Argand's plane and |(z-1)/(z+2 i)|=1, t...

    Text Solution

    |

  16. The argument of the complex number sin((6pi)/(5))+i(1+cos.(6pi)/(5)) i...

    Text Solution

    |

  17. The maximum value of n lt 101 such that 1+sum(k=1)^(n)i^(k)=0 is

    Text Solution

    |

  18. The value of (-1+sqrt(3))^(62)+(-1-sqrt(-3))^(62) is

    Text Solution

    |

  19. All complex number z which satisfy the equation |(z-6 i)/(z+6 i)|=1 li...

    Text Solution

    |

  20. If z is a complex number with |z|=1 and z+(1)/(z)=x+iy, then xy=

    Text Solution

    |