00:01
So we can start by dividing both sides by six.
00:04
So we'll have sine pi fifths x.
00:09
3 divided by 6 is 1 half.
00:12
And now to get rid of the sign, we can take the arc sign, the inverse sign of both sides.
00:18
So the arc sign of sine of pi fifths x is just going to be pi fifths x, and that's equal to the arc sign of one half.
00:30
And the arc sign of one half is pi 6.
00:33
And that can be repeated every 2 pi integer, but it's also arc sine 1 half is also 5 pi 6, and that's also every 2 pi.
00:50
So we can split these up into two equations where we'll have pi 5ths x is pi 6 plus 2 pi n, and pi 5x is also 5 pi 6 plus 2 pi n.
01:07
Now to get xx by itself, we can divide by pi -fifths...