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

Promotional Banner

Similar Questions

Explore conceptually related problems

Find the real number x if (x-2i)(1+i) is purely imaginary.

If z is a complex number such that |z|=1, z ne 1 , then the real part of |(z-1)/(z+1)| is

Find the modulus of (1-i) ?

Let z_(1)=2-i, z_(2)=-2+i . Find the imaginary part of (1)/(z_(1)bar(z_(2)))

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

Let Z_1=2-I and Z_2 =-2 + i Find the imaginary part of (1)/( Z_1Z_2) solve = sqrt 5x^(2) +x+ sqrt( 5) =0

The real part of log log i is

Find the modulus of (2-i)/(5i) .

Find the general value of log_(2)(5i), where i=sqrt(-1).

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