Tentukan penyelesaian persamaan sin berikut ​

Penjelasan dengan langkah-langkah:

sin (2x + π/4) = sin 3π/4

x = a + k.360

2x + π/4 = 3π/4 + k.2π

2x = 2π/4 + k.2π

x = 2π/8 + k. π

k = 0 => x = 2π/8

k = 1 => x = 10π/8

k = 2 => x = 18π/8 ( tidak memenuhi )

2x + π/4 = ( π – 3π/4) + 2π

2x + π/4 = π/4 + 2π

2x = 0 + k.2π

x = 0 + k. π

k = 0 => x = 0

k = 1 => x = π

k = 2 => x = 2π

Maka Hp = { 0, 2π/8 , 10π/8 , π ,2π )