What does arcsin(sin ((-pi)/2)) equal?

1 Answer
Jan 20, 2016

-pi/2

Explanation:

If you want to know how please follow.

sin(-pi/2) = -sin(pi/2) since sin(x) is a odd function.

sin(-pi/2) = -1 since sin(pi/2) = 1

arcsin(sin(-pi/2)) = arcsin(-1)

Now comes the range of arcsin(x)
The range of arcsin(x) is [-pi/2,pi/2]

So arcsin(-1) would give -pi/2

Therefore,

arcsin(sin(-pi/2)) = -pi/2