00:01
So in the first part of this problem, you're given this angle negative 11 pi over 6, which is in radiance, and we want to find a coterminal angle that's between 0 and 2 pi.
00:09
Well, remember, coterminal angles would be two angles that are drawn in the same standard position.
00:15
So in terms to getting every single other coterminal angle, all you need to do is either add or subtract 2 pi.
00:21
Well, because we want our answer to be between positive 0 and 2 pi, what i'm going to do is take a negative 11 pi over 6, and i'm going to add 2 pi.
00:30
To it.
00:31
Well, remember, when you add fractions, you need a common denominator.
00:33
So i'm going to put 2 pi over 1, and our common denominator is going to be 6.
00:37
So i'll multiply the first fraction by 6 over 6.
00:40
So this will leave us with negative 11 pi over 6 plus 12 pi over 6.
00:45
Now that we have a common denominator, we can add these two fractions...