Home
Class 12
MATHS
The real part of (1-costheta + I sin the...

The real part of `(1-costheta + I sin theta)^(-1)` is

A

`(1)/(2)`

B

`(1)/(1+costheta)`

C

`tan""(theta)/(2)`

D

`cot""(theta)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • K-CET-MATHEMATICS-2015

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|60 Videos
  • P.U .BOARD LATEST MODEL QUESTION PAPER - 2

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos

Similar Questions

Explore conceptually related problems

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

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

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

The real part of log log i is

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

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 real part of [[cos alpha+i sin alpha, cos beta+i sin beta],[ sin beta+i cos beta, sin alpha+i cos alpha]] is

Given cot theta =(7)/(8) , then evaluate (i) ((1+sin theta )( 1-sin theta ))/( (1+cos theta )(1-cos theta )) " "(ii) cot^2 theta

If theta=(pi)/(6) then the 10^(th) term of the series 1+(cos theta+i sin theta) + (cos theta+i sin theta)^(2) +…... . is

SUNSTAR PUBLICATION-K-CET-MATHEMATICS-2016-MULTIPLE CHOICE QUESTIONS
  1. The differential coefficient of log(10)x with respect to log(x)10 is

    Text Solution

    |

  2. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2)-2t-5 at th...

    Text Solution

    |

  3. The real part of (1-costheta + I sin theta)^(-1) is

    Text Solution

    |

  4. int(0)^(pi//2)(sin^(1000)xdx)/(sin^(1000)x+cos^(1000)x) is equal to

    Text Solution

    |

  5. If 1+sin x+sin^(2)x+…………… upto oo=4+2sqrt(3),0ltxltpi and x!=(pi)/2, t...

    Text Solution

    |

  6. underset(xrarr0)lim(xe^(x)-sinx)/(x) is equal to

    Text Solution

    |

  7. If tan^(-1)(x^(2)+y^(2))=alpha then (dy)/(dx) is equal to

    Text Solution

    |

  8. The simplified form of i^(n)+i^(n+1)+i^(n+2)+i^(n+3) is

    Text Solution

    |

  9. The two curves x^(3)-3xy^(2)+2=0 and 3x^(2)y-y^(3)-2=0:

    Text Solution

    |

  10. The equation of the normal to the curve y(1+x^(2))=2-x where the tang...

    Text Solution

    |

  11. The maximum value of (1/x)^(x) is

    Text Solution

    |

  12. The solution for the differential equation (dy)/(y)+(dx)/(x)=0 is

    Text Solution

    |

  13. The order and degree of the differential equation [1 + ((dy)/(dx))^(2)...

    Text Solution

    |

  14. If veca and vec b are unit vectors, then what is the angle between vec...

    Text Solution

    |

  15. The sum of 1^(st) n terms of the series (1^(2))/(1) + (1^(2) + 2^(2...

    Text Solution

    |

  16. The 11^(th) term in the expansion of (x+(1)/(sqrt(x)))^(14) is

    Text Solution

    |

  17. Suppose veca + vecb + vecc = 0, |veca| = 3, |vecb| = 5, |vecc| = 7, th...

    Text Solution

    |

  18. If veca, vecb, vecc are three non-zero vector such that each one of th...

    Text Solution

    |

  19. If the straight lines 2x+3y-3=0 and x+ky+7=0 are perpendicular, then t...

    Text Solution

    |

  20. The rate of change of area of a circle with respect to its radius at r...

    Text Solution

    |