sin 2 x - ½ √3 = 0 untuk 0 ≤ x ≤ 3π/2

Bab Trigonometri
Matematika SMA Kelas X

sin 2x - 1/2 √3 = 0
sin 2x = 1/2 √3

2x = π/3
x = π/6

2x = 2π/3
x = π/3

2x = 7π/3
x = 7π/6

HP = { π/6, π/3, 7π/6 }

Sin 2x = ½√3
= sin 60
= sin 60/180 π
= sin ⅓π
2x = ⅓π + k.2π
x = ¹/6 π + k.π

k = 0, x = ¹/6 π
k = ¹/6, x = ⅓π
k = 1, x = 7/6 π

Hp { ¹/6π, ⅓π, 7/6 π }