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Express the following numbers in the form x + iy: 3(cos π6+isin π6)

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Question

Express the following numbers in the form x + iy: 

`sqrt(3)(cos  pi/6 + "i" sin  pi/6)`

Sum
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Solution

`sqrt(3)(cos  pi/6 + "i" sin  pi/6)`

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

= `3/2 + sqrt(3)/2"i"`, which is of the form x + iy.

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Chapter 1: Complex Numbers - Exercise 1.3 [Page 15]

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