Find the exact value Sin 2 pi3 sin2 pi3 Type an integer or

Find the exact value. Sin(- 2 pi/3) sin(-2 pi/3) = (Type an integer or a fraction. Type an exact answer, using radicals as needed.)

Solution

sin(-2pi/3) = - sin(2pi/3)

                 = - sin( 120)

                = - sin(90+30)

                = - cos(30)

                = -sqrt(3)/2