00:01
We need to find the exact value of the expression, if it is defined, of inverse cosine of root 3 times sine of pi 6.
00:12
To solve this problem, we need to have an understanding of the unit circle, unit circle coordinates, and inverses.
00:20
Let's first start by solving the inside of the inverse cosine.
00:25
Route 3 times sine of pi 6.
00:27
Well, we know that sign of pi 6 on a unit circle coordinate system.
00:31
Is equivalent to one half, which is that also at 30 degrees on the unit circle.
00:45
So we now can set this equation equivalent to the inverse cosine of root 3 times 1 half, which is equivalent to the inverse cosine of root 3 over 2.
01:05
Now we have to apply our understanding of inverses...