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Question
What is the polar form of the complex number (i25)3?
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Solution
z = (i25)3
= (i)75
= `i^(4 xx 18 + 3)`
= (i4)18 (i)3
= i3 = –i = 0 – i
Polar form of z = r(cosθ + isinθ)
= `1{cos(- pi/2) + isin(- pi/2)}`
= `cos pi/2 - i sin pi/2`
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