Question

9. Express the following complex numbers
in Exponential form:
1+i
(i)
(ii) - 1-i
1-i
​

Answer 1

Answer:

Express the following complex number in polar form and exponential form :

−1−

3

i

Answer

Given,

z=−1−

3

i

r=

(−1)

2

+(−

3

)

2

⇒r=2

θ=tan

−1

(

−1

−

3

)⇒θ=

3

π

Polar form z=r(cosθ+isinθ)=2(cos

3

π

+isin

3

π

)

Exponential form z=re

iθ

=2e

i

3

π