Home
Class 12
MATHS
If (cos theta+i sin theta) .(cos 2 thet...

If `(cos theta+i sin theta) .(cos 2 theta+i sin 2 theta) ldots ldots(cos m theta+i sin m theta)=1` then the value of theta is

A

a) `4 m pi`

B

b) `(2 m pi)/(m(m+1))`

C

c) `(4 n pi)/(m(m+1))`

D

d) `(m pi)/(m(m+1))`

Text Solution

Verified by Experts

The correct Answer is:
C
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

((cos theta+i sin theta)/(sin theta+i cos theta))^(4)=

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

(1+cos theta+i sin theta)^(10)+(1+cos theta-i sin theta)^(10)=

If ((1+cos theta+i sin theta)/(sin theta+i+i cos theta))^(4)=cos n theta+i sin n theta , then n=

(sin theta+i cos theta)^(9) =

If we express ((cos 2 theta-i sin 2 theta)^(4)(cos 4 theta+i sin 4 theta)^(-5))/((cos 3 theta+i sin 3 theta)^(-2)(cos 3 theta-i sin 3 theta)^(-9)) in the form of x+i y we get

(1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

(1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

If sin theta+cos theta=1 then the value of sin 2 theta is equal to

If cos theta + sin theta = sqrt(2) cos theta , show that cos theta - sin theta = sqrt(2) sin theta .

HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If omega is the cube root of unity of the equation z^(3)=1, then the v...

    Text Solution

    |

  2. The reciprocal of 3+i sqrt(7) is

    Text Solution

    |

  3. If (cos theta+i sin theta) .(cos 2 theta+i sin 2 theta) ldots ldots(c...

    Text Solution

    |

  4. If ((1+i sqrt(3))/(1-i sqrt(3)))^(n) is an integer, then n=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. (3+2 i sin theta)/(1-2 i sin theta) will be purely imaginary, if theta...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |