Soal Matematika Persamaan Trigonometri, tolong dijawab ya :)

2 sin x + 3 cot x - 3 csc x = 0
Kalikan sin x
2 sin² x + 3 cos x - 3 = 0
2(1 - cos² x) + 3 cos x - 3 = 0
-2 cos² x + 3 cos x - 1 = 0
(-2 cos x + 1)(cos x - 1) = 0
cos x = 1/2 atau cos x = 1

0 < x < π/2
Yg memenuhi :
cos x = 1/2
x = 60°

sin x cos x
= sin 60° . cos 60°
= 1/2 √3 . 1/2
= 1/4 √3 ✔