sin(1/3 x + 1/3 π ) = sin π/2 , 0 < x < 2π

Materi : Trigonometri
Bahasan : Persamaan Trigonometri
Jawaban : HP = {π/2}

Langkah - langkah :
sin (1/3 x + π/3) = sin π/2, untuk 0 < x < 2π
1/3 x = π/2 - π/3 + 2πk
1/3 x = π/6 + 2πk
x = π/2 + 6πk
Untuk k = 0
x = π/2 + 6π(0)
x = π/2
Untuk k = 1
x = π/2 + 6π(1)
x = 13π/2 (T.M)
HP = {π/2}