Evaluate the following expressions. Your answer must be an angle in radians and in the interval [(-pi/2),(pi/2)] .

Question

(a) sin^(-1)(0) =

(b) sin^(-1)((-sqrt3)/2) =

(c) sin^(-1)(-1/2) =

Answer 1

arcsin(0) = 0
sin < 0 in QIV, so -pi/3
ditto, so -pi/6