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) =
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