Solve the equation in radians for all exact solutions betwee

Solve the equation in radians for all exact solutions between [0. 2 pi) Write answers using the least possible nonnegative angle measures, 6 sin x/2 = 3 Which of the following are all possible solutions? {pi/3, 5 pi/3} {pi/6, 5 pi/6} {pi/3} only {pi/6, 5 pi/3}

Solution

6sinx/2=3

sin x/2=1/2

Taking sin^-1 on both sides

x/2=sin^-1(1/2)= pi/6, 5pi/6

x=pi/3,5pi/3