Question: are arcsin and cosecant the same thing?
Answer: arcsin is the inverse of the sin function. Meaning that sin(arcsin(x)) = x. ... cosecant is the reciprical of the sin function or 1/sin(x) so that csc(x)*sin(x) = 1 when it is defined. The two can be confused since arcsin(x) is often denoted as sin^-1(x) and x^-1 is 1/x.