Which linear lines (y=mx +b), with a gradient m<0, will intersect cleanly with arcsin(sin^-1) and why. Trying to understand concept.
@HeeeHeee unfortunately I could not understand your question
sin^-1 needs an argument you have not specified that. As result It is not clear what your are writing as a result
sin^-1(x) is curve not a line.
There is no guarantee there is close form solution
mx + b = sin^-1(x)
Edit try solvng by inspection.
If b >0 the intersection will be in the first quadrant
if b<0 the intersection will be in the third quadrant.
There infinite number of lines that can meet the criteria of intersection over m, b