00:01
In this problem, we are given that x is between 0 and 2 pi, open at the right endpoint.
00:08
And with that, we are going to solve the equation cotangent 2x minus root 3 equal to 0.
00:20
Let us try to rewrite this equation as cotangent 2x equal to square root of 3.
00:27
And let us draw this triangle.
00:29
So we have 2x over here.
00:36
Cotangent is this side divided by this side.
00:39
So we can put square root of 3 here and 1 here.
00:45
Then this triangle looks similar.
00:50
It looks like something we know.
00:53
So this is essentially 30 degrees, 60 degrees and this is the right angle here.
01:01
So we have this 30, 60, 90 triangle here.
01:05
Therefore, we have 2x equal to 30 degrees...