Question

True or false: the range of y=arcsinx is [-pi/2, pi/2]

Answer 1

This is true. The range of Y=arcsinx is [-π/2, π/2]

Answer 2

True.

The range for arctan is all the valid Y-Values, and if you take a look at the graph you can see it caps out at pi/2 and -pi/2 for y values.

P.S. pi/2 = 1.57......