Home
Class 11
MATHS
The polar form of (i^(25))^3 is a. cos(p...

The polar form of `(i^(25))^3` is a. `cos(pi/2)+isin(pi/2)` b. `cospi+i\ sinpi` c. `cospi-isinpi` d. `cos(pi/2)-\ i sin(pi/2)`

Promotional Banner

Topper's Solved these Questions

  • COMBINATIONS

    RD SHARMA ENGLISH|Exercise All Questions|117 Videos

  • DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|230 Videos

Similar Questions

Explore conceptually related problems

The value of cos(pi/2^(2)).cos(pi/2^(3))……….cos(pi/2^(10)).sin(pi/2^(10)) is

The argument of (1-i)/(1+i) is a. -pi/2 b. pi/2 c. (3pi)/2 d. (5pi)/2

sin(pi/2^2009)cos(pi/2^2009)cos(pi/2^2008).....cos(pi/2^2) is

cospi/5+cos(2pi)/5+cos(6pi)/5+cos(7pi)/5=0

5.The modulus amplitude form of -1-i is (a) -sqrt(2)(cos(pi/4)+i sin(pi/4)) (b) sqrt(2)(cos((3pi)/4)+i sin((3pi)/4)) (c) sqrt(2)[cos(-(3 pi)/(4))+i sin(-(3 pi)/(4))] (d) None of these.

The value of cos[1/2cos^(-1)(cos(-(14pi)/5))]\ is/are a. cos(-(7pi)/5) b. sin(pi/(10)) c. cos((2pi)/5)\ d. -cos((3pi)/5)

Find the value of expression (cos(pi/2)+isin(pi/2))(cos(pi/(2^2))+isin(pi/(2^2))).......oo

Find the value of expression (cospi/2+i sin(pi/2))(cos(pi/(2^2))+i sin(pi/(2^2)))......oo

Evaluate the following: sin(7pi)/(12)cospi/4-cos(7pi)/(12)sinpi/4

Evaluate the following: cos(2pi/3)cos(pi/4)-sin(2pi/3)sin(pi/4)

RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
  1. If sqrt(a+i b)=x+i y ,\ then possible value of sqrt(a-i b) is a. x^2+...

    Text Solution

    |

  2. If z=cos(pi/4)+isin(pi/6) , then a. |z|=1, arg(z)=\ pi/4 b. |z|=1, arg...

    Text Solution

    |

  3. The polar form of (i^(25))^3 is a. cos(pi/2)+isin(pi/2) b. cospi+i\ si...

    Text Solution

    |

  4. If i^2=-1, then the sum i+i^2+i^3+... upto 1000 terms is equal to a. 1...

    Text Solution

    |

  5. If z=(-2)/(1+isqrt(3)) , then the value of "arg"(z) is a. pi b. pi/4 c...

    Text Solution

    |

  6. If a=costheta+isintheta, then (1+a)/(1-a) is: (a). cot(theta/2) (b). ...

    Text Solution

    |

  7. If (1+i)(1+2i)(1+3i)...(1+n i)=a+i b , then the value of; 2. 5. 10. 17...

    Text Solution

    |

  8. If ((a^2+1)^2)/(2a-i)=x+i y , then x^2+y^2 is equal to a. ((a^2+1)^4)/...

    Text Solution

    |

  9. The principal value of the amplitude of (1+i) is A. pi B. pi/(12) C...

    Text Solution

    |

  10. The least positive integer n such that ((2i)/(1+i))^n is a positive in...

    Text Solution

    |

  11. If z is a non zero complex, number then |(|barz |^2)/(z barz )| is eq...

    Text Solution

    |

  12. If a=1+i , then a^2 equals A. 1-i B. 2i C. (1+i)(1-i) D. (i-1)

    Text Solution

    |

  13. If (x+i y)^(1//3)=a+i b ,\ then\ x/a+y/b is a. 0 b. 1 c. -1 d. none o...

    Text Solution

    |

  14. (sqrt(-2))(sqrt(-3)) is equal to A. sqrt(6) B. -sqrt(6) C. isqrt(6)...

    Text Solution

    |

  15. The argument of (1-isqrt(3))/(1+isqrt(3)) is a. 60^@ b. 120^@ c. 210^@...

    Text Solution

    |

  16. If z=((1+i)/(1-i)), then z^4 equals to

    Text Solution

    |

  17. If z=(1+2i)/(1-(1-i)^2), then arg(z) equals a. 0 b. pi/2 c. pi ...

    Text Solution

    |

  18. If z=1/((2+3i)^2), then |z| is (a). 1/13 (b) . 1/5 (c) . 1...

    Text Solution

    |

  19. If z=1/((1-i)(2+3i)), then |z| is (a). 1 (b). 1/sqrt(26) (c). 5...

    Text Solution

    |

  20. If z=1-costheta+isintheta,\ t h e n\ |z| is equal to a. 2sin(theta/2)...

    Text Solution

    |