hi, this might be a simple problem but I can not figure it out and my textbook does not describe how to algebraically find arcsine or any arc function.

its says arcsin(-1/2) = sin(-pi/6) the angle whose sine is -1/2.

but it does not describe how to algebraically go from arcsin to sin(-pi/6)

can someone show how to do this? i dont want to use the calculator!@#

thanks