Evaluate the following expressions Your answer must be an an

Evaluate the following expressions. Your answer must be an angle in radians and in the interval [- pi/2, pi/2]. (a) sin^-1 (- squareroot 3/2) = _________________ (b) sin^-1(1) = ________________________ (c) sin^-1(- squareroot 2/2) = ______________________

Solution

a. sin^-1(-sqrt3/2) =sin^-1(sin(-pi/3))=-pi/3

b. sin^-1(1) =sin^-1(sin(pi/2)) =pi/2

c. sin^-1(-sqrt2/2) = sin^-1(sin(-pi/4))= -pi/4