Answer:
111.4 degrees
Step-by-step explanation:
Let's write cos x = -0.3646. Or, look up the symbols chart at the bottom of your page and click on Ф to obtain this character: cos Ф = -0.3646.
If Ф is in Quadrant III, then the adjacent side is negative and the hypotenuse is positive.
-1
Type this into your calculator: cos -0.3646. Result: 1.934 (radians)
This converts to degrees as follows:
1.934 rad 180 degr
--------------- * --------------- = 111.4 degrees. Note that this angle is in QIII.
1 π rad