In a triangle the smallest angle is

36.998.. degrees is the answer I got               

The smallest angle varies with the triangle but is usually along the smallest length, which would mean it would the smallest interior angle. 
For instance the smallest angle in a right triangle is 90 degrees. 
Perhaps I am reading the question wrong.
Do you have an image of a triangle for this question?
Hope this helps, and if it doesn't I apologize. 

Sin(a)+cos(a)+cot(a)-1=2(csc(x)+1)