+0

+1
143
6
+19

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
-1

Im(a) = sqrt(3).

Aug 20, 2021
#2
+19
+1

That's wrong

Aug 20, 2021
#3
+32828
+2

Here are some useful equations:

I'll let you fill in the numbers.

Aug 21, 2021
#4
+19
0

How can I find sin(a)?

Aug 21, 2021
#5
+32828
+1

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 $$\sin \alpha$$

Aug 22, 2021
#6
+19
0

Nevermind thanks for all the help!

Aug 22, 2021
edited by YABOIIIIII  Aug 22, 2021