Home
Class 11
MATHS
The value of (cos(pi/10)+isin(pi/10))...

The value of` (cos(pi/10)+isin(pi/10))(cos((2pi)/10)+isin((2pi)/10))(cos((3pi)/10)+isin((3pi)/10))(cos((4pi)/10)+isin((4pi)/10))` is

A

a) `(-1)`

B

b) `1`

C

c) `2`

D

d) `(-2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

  • CONIC SECTION

    PATHFINDER|Exercise QUESTION BANK|25 Videos

Similar Questions

Explore conceptually related problems

The value of [(1+cos(pi/8)+isin(pi/8))/(1+cos(pi/8)-isin(pi/8))]^8 is

cos(pi/14) + cos ((3pi)/14) + cos((5pi)/14) =

The value of cos((2pi)/7)cos((4pi)/7)cos((6pi)/7) is

cos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)

Find the value of 16cos(pi/15).cos((2pi)/15).cos((4pi)/15).cos((8pi)/15)

Show that cos(pi/11)cos((2pi)/11)cos((3pi)/11)cos((4pi)/11)cos((5pi)/11)=1/32

The value of cos(pi/7)+cos((2pi)/7)+cos((3pi)/7)+cos((4pi)/7)+cos((5pi)/7) +cos((6pi)/7)+cos((7pi)/7) is

The value of cos""(pi)/(15)cos""(2pi)/(15)cos""(4pi)/(15)cos""(8pi)/(15) is

The value of cos ""pi/7 cos ""(2pi)/(7) cos ""(3pi)/(7) is-

(cos^4(pi/8))+(cos^4((3pi)/8))+(cos^4((5pi)/8))+(cos^4((7pi)/8)) is

PATHFINDER-COMPLEX NUMBERS-QUESTION BANK
  1. The modulus of (x-iy)^2 is

    Text Solution

    |

  2. If 2i^2+6i^3+3i^(16)-6i^(19)+4i^(25)=x+iy, then

    Text Solution

    |

  3. The value of (cos(pi/10)+isin(pi/10))(cos((2pi)/10)+isin((2pi)/10))...

    Text Solution

    |

  4. If (a+i)^2/(2a-1)=p+iq then find the values of (p^2+q^2)

    Text Solution

    |

  5. If omega and omega^2 be the imaginary cube roots of unity then find th...

    Text Solution

    |

  6. Value of i^(n)+i^(n+1)+i^(n+2)+i^(n+3)("when" i=sqrt(-1))-

    Text Solution

    |

  7. If (1+i)(2+i)(3+i)………(n+i)=a+ib then show that 2.5.10……….(n^2+1)=a^2+...

    Text Solution

    |

  8. Find the least possible integral value of n so that ((1+i)/(1-i))^n' i...

    Text Solution

    |

  9. Find the amplitude of (sqrt3+i)

    Text Solution

    |

  10. Find the value of sqrt([-3+sqrt(({-3+sqrt(-3+... "to infinity"}})]])

    Text Solution

    |

  11. Express 1/(1-i)^3 in the form A+iB

    Text Solution

    |

  12. Find the square root of (i)

    Text Solution

    |

  13. Show that x^3-1=(x-1)(x-omega)(x-omega^2)

    Text Solution

    |

  14. Find 4th roots of 1

    Text Solution

    |

  15. Express each of the following expressions as the sum of two squares: (...

    Text Solution

    |

  16. Ifabs(z)gt1 then find the position of the complex no. of z in argand p...

    Text Solution

    |

  17. If abs(z+2)+abs(z-2)le6 then find the maximum value of abs(z)

    Text Solution

    |

  18. Ifz^2+abs(z)^2=0 then find the imaginary value of z

    Text Solution

    |

  19. Show that in argand plane the complex number (1+4i),(2+7i)and (3+10i) ...

    Text Solution

    |

  20. z1 and z2 are two different complex nos where z1ne0 z2ne0 prove that (...

    Text Solution

    |