You probably were asked to solve this:
cosq = -.2361
So you have to find the calculator key that reads cos-1
You will likely have to press the "2nd" key first.
That really doesn't have anything to do with -1, "negative one".
It means
"What angle between 0° and 180° has a cosine of -.2361?", if it
wants the angle in degrees.
or it means:
"What angle between 0 and p has a cosine of -.2361?"
if it
wants the angle in radians
The answer in degrees is 103.6564729°
The answer in radians is 1.809146743 radians.
Edwin