00:01
So we are given this expression to solve.
00:05
And the very first thing we want to do is evaluate what is inside the parentheses.
00:09
So we're doing sine of 2 pi over 3.
00:11
So i've drawn 2 pi over 3 from our standard position, which is in quadrant 2 there.
00:16
If we were to create our right triangle, we know that the measure of this angle is pi over 3, or 60 degrees.
00:26
So we have a special right triangle that we can use in order to evaluate sine of 2 pi over 3.
00:33
So if that's a 60 degree angle, we know that our hypotenuse is 2, our height is root 3, and our base is 1.
00:41
Sine is opposite over hypotenuse, or in this case, root 3 over 2.
00:46
And then since we are in our second quadrant here, we know that sine and cosecant are positive.
00:54
So first of all, we know that sine of 2 pi over 3 is equal to root 3 over 2...