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

1 thought on “9. Express the following complex numbers <br />in Exponential form:<br />1+i<br />(i)<br />(ii) – 1-i<br />1-i<br /> ​”

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

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