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Question

Write (1i) in polar form.

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Solution

Given,

z=1i

z=a+ib

r=a2+b2=12+(1)2=2

θ=tan1ba=tan111=π4

θ=ππ4=3π4

z=r(cosθ+isinθ)

z=2(cos3π4+isin3π4)

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