00:01
Here i have the equation co -secrette of x minus 4 equals 0, and i want to find the solutions on the interval 0 to 2 pi, where 0 is included and 2 pi is not included.
00:13
Now i'm going to start by adding 4 to both sides.
00:17
That gives me co -secret of x equals 4.
00:21
Now to cancel out the square, i'm going to take the square root, which gives me co -sacent of x equals plus or minus 2.
00:30
Reason it's plus or minus is because any time i take a square root, i get plus or minus that value.
00:38
So when co -secant equals plus or minus two, we know that sign, which is the reciprocal of co -secant, equals plus or minus one -half.
00:51
So let's find where sign is plus or minus one -half using special right triangles.
00:57
So i'm going to recognize that this is an example of a 30 -60 -90 where our angles are pi over six, pi over three, and then we have our right angle.
01:12
The sides of this triangle are always 1, 2, and root 3.
01:16
Now this is one we want to have memorized...