Complex NumbersHard
Question
The principal value of the arg(z) and |z| of the complex number z = 1 + cos 
+ i sin 
are respectively :
+ i sin are respectively :Options
A.
, 2 cos 
, 2 cos B.
C.
D.
Solution
z = 1 + cos 
+ i sin
(-1)
|z| = - 2cos
= 2 cos
arg(z) =
+ i sin (-1)|z| = - 2cos
= 2 cos
arg(z) =
Create a free account to view solution
View Solution FreeMore Complex Numbers Questions
The value of is...Let z is a complex number such that = and arg(z) = θ, then maximum value of cos(2θ) is -...If = x + iy, then...If z1 and z2 are two conjugate complex numbers and amp(z1) = θ , then amp (z1) + amp (z2) and amp (z1 / z2) are equ...If z is a complex number, then amp will be -...