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A regular hexagon has vertices at 1-2i, 0, a, b, c, and d clockwise in that order, as in the picture below: 

Then what is Im(a)? Btw, Im stands for imaginary axis

 Aug 20, 2021
 #1
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Im(a) = sqrt(3).

 Aug 20, 2021
 #2
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That's wrong

 Aug 20, 2021
 #3
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Here are some useful equations:

I'll let you fill in the numbers.

 Aug 21, 2021
 #4
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How can I find sin(a)?

 Aug 21, 2021
 #5
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The first equation allows you to calculate θ

Then you can calculate β from the second equation

Then you can calculate α from the third equation

Then you can calculate sinα

 Aug 22, 2021
 #6
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Nevermind thanks for all the help!

 Aug 22, 2021
edited by YABOIIIIII  Aug 22, 2021

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