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What is the polar form of the complex number (i25)3? - Mathematics

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प्रश्न

What is the polar form of the complex number (i25)3?

योग

उत्तर

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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अध्याय 5: Complex Numbers and Quadratic Equations - Solved Examples [पृष्ठ ८८]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 5 Complex Numbers and Quadratic Equations
Solved Examples | Q 25 | पृष्ठ ८८

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