Question

how does csc^-1(-1) = -1.5708

can anyone explain that please
how does csc^-1(-1) = -1.5708

can anyone explain that please
@Mathematics

Answer 1

A few points first: csc^-1 means inverse cosecant. It is ambiguous terminology because most often x^-1 means 1/x. Not the case here. Second, this problem is using radians rather than degrees. Third, cosecant(A) is equal to 1/sin(A). So the easiest way to do this is first write it as
csc(A)= -1
1/sin(A) = -1
sin(A)= -1 (-1 flipped is still -1)
now do the inverse sin:
A= asin(-1) (Here I write asin rather than sin^-1)
A= -pi/2 (or -90 in degrees)