Home
Class 12
MATHS
Find the real part of (1-i)^(-i)....

Find the real part of `(1-i)^(-i)`.

A

`e^(-pi//4)cos((1)/(2)log_(e)2)`

B

`-e^(-pi//4)sin((1)/(2)log_(e)2)`

C

`e^(-pi//4)cos((1)/(2)log_(e)2)`

D

`e^(-pi//4)sin((1)/(2)log_(e)2)`

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise For Session 4|14 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise For Session 2|14 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

Find the value of |(1 + i)/(1-i)|

Find the square root of 1+i .

Find real and imaginary parts of (1-i)/(1+i) .

Find the real and imaginary part of (3 - 4i)/(1 + i)

Find the real and imaginary part of (4 + 5i)/(2 - 3i)

the real part of (-1)/(5)+(i)/(5) is :

Find the modulus of (1+i)/(1-i)-(1-i)/(1+i) .

Find the modulus of (1+i)/(1-i)-(1-i)/(1+i) .

Find the modulus of (1 + i)/(1 - i) - (1 - i)/(1 + i)

Find the value of 1+i^(2)+i^(4)+i^(6)+...+i^(2n), where i=sqrt(-1) and n in N.