Question

what is the exponential polar form of root i​

Answer 1

Answer:

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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