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Express the following numbers in the form x + iy: eπ3i - Mathematics and Statistics

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प्रश्न

Express the following numbers in the form x + iy:

`"e"^(pi/3"i")`

योग
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उत्तर

z = reiθ 

= `"e"^(pi/3"i")`

∴ r = 1, θ = `pi/3`

∴ Polar form of z = r(cos θ + i sin θ)

= `1(cos  pi/3 + "i"  sin  pi/3)`

= `1/2 + sqrt(3)/2"i"`

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Argand Diagram Or Complex Plane
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Complex Numbers - Exercise 1.3 [पृष्ठ १५]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 1 Complex Numbers
Exercise 1.3 | Q 5. (iv) | पृष्ठ १५

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