Question

-
Find the modulus and amplitude of
the complex number :z=1+i​

Answer 1

Answer:

Let z=1−i.

Now ∣z∣=

1

2

+(−1)

2

=

2

.

Since the point lies on the fourth quadrant then the amplitude of the complex number z is −tan

−1

∣

∣

∣

∣

∣

1

−1

∣

∣

∣

∣

∣

=−

4

π

.