Help please due today

Question

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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

YABOIIIIII Aug 20, 2021

Guest · Answer 1 · 2021-08-20T04:02:39

Im(a) = sqrt(3).

YABOIIIIII · Answer 2 · 2021-08-20T10:02:44

That's wrong

Alan · Answer 3 · 2021-08-21T09:48:29

Here are some useful equations:

I'll let you fill in the numbers.

YABOIIIIII · Answer 4 · 2021-08-21T01:05:43

How can I find sin(a)?

Alan · Answer 5 · 2021-08-22T07:26:21

The first equation allows you to calculate $\theta$

Then you can calculate $\beta$ from the second equation

Then you can calculate $\alpha$ from the third equation

Then you can calculate $\sin \alpha$

YABOIIIIII · Answer 6 · 2021-08-22T03:28:22

Nevermind thanks for all the help!