Jawab:

HP = {1/12π, 1/3π, 7/12 π, 5/6π, 13/12π, 4/3π, 19/12π, 11/6π}

Penjelasan dengan langkah-langkah:

tan x = tan α

x = α + k. 180 atau x = α + k. π

tan 4x = tan ⅓π untuk0 ≤ x ≤ 2π

4x = 1/3π + k. π

x = 1/12π + k. 1/4π

k = 0

x = 1/12π + 0. 1/4π

x = 1/12π

k = 1

x = 1/12π + 1. 1/4π

x = 1/3π

k = 2

x = 1/12π + 2. 1/4π

x = 7/12 π

k = 3

x = 1/12π + 3. 1/4π

x = 5/6π

k = 4

x = 1/12π + 4. 1/4π

x = 13/12π

k = 5

x = 1/12π + 5. 1/4π

x = 4/3π

k = 6

x = 1/12π + 6. 1/4π

x = 19/12π

k = 7

x = 1/12π + 7. 1/4π

x = 11/6π

k = 8

x = 1/12π + 8. 1/4π

x = 25/12π (tidak memenuhi)

HP = {1/12π, 1/3π, 7/12 π, 5/6π, 13/12π, 4/3π, 19/12π, 11/6π}