(iii) Find the modulus and argument of t...

(iii) Find the modulus and argument of the complex numbers.
(a) `(1+i)/(1-i)`, (b) `1/(1+i)`

Verified by Experts

The correct Answer is:

(i) modulus of `(1+i)/(1-i)` is 1 and the argument is `pi/2`.
(ii) modulus of `1/(1+i)` is `1/sqrt(2)`,argument is `-pi/4`.

Similar Questions

Explore conceptually related problems

Find the modulus and argument of the complex number (2+i)/(4i+(1+i)^(2))

Find the modulus and the argument of the complex number -sqrt3 + i

Find modulus and argument of the complex numbers z=-1-isqrt(3)

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

Find the imaginary part of the complex number if z=( 2-i)(5+i)

The conjugate of the complex number (1 + i)^(2)/(1-i) is

Find the modulus of (1-i) ?

The modulus and principal argument of the complex number (1 + 2i)/(1 - (1- i)^(2)) are , respectively

The conjugate of the complex number (1+i)^(3)+(1)/(i) is