Trigonometry question

Question

Find the solution set of each equation in the interval: 0 ≤ x < 2 : sin (x/2) -1 = 0

a. π/2

b. {2π}

c. π/4



d. {π}

Answer 1

sin(x/2)-1=0

sin(x/2)=1

sin is 1 at 90°

so, x/2=90° and x=180° which is d.