Question

Express the -1-13i in the modulus-
amplitude form.​

Answer 1

Answer:

z=1−i

⇒∣z∣=

1

2

+(−1)

2

=

2

and θ=tan

−1

(

1

−1

)=

4

−π

Thus modulus-amplitude form is,

z=∣z∣(cosθ+isinθ)=

2

(cos

4

−π

+isin

4

−π

)