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

Question

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

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Kaylee 2 years 2021-06-22T16:47:55+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-06-22T16:49:43+00:00

    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

    =2e

    i

    3

    π

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