00:01
To work with these composition problems with inverse trig, i'm going to let theta equal this inner expression arc sign negative 10 over 11, which means that the sign of theta is negative 10 over 11.
00:21
But remember, i'm dealing with an arc sign, so i'm restricted to quadrants 1 and 4 because i have to restrict the domain from negative pi over 2.
00:32
To positive pi over 2.
00:34
Since this value, negative 10 over 11 is negative, that means i'm in quadrant 4.
00:42
Sign is opposite over hypotenuse.
00:46
I'm going to use pythagorean theorem to get that missing side.
00:57
So i'm going to get x squared is 21.
01:00
X is the square root of 21.
01:05
Okay.
01:06
Now remember, i let theta equal this inverse expression...