Hp dari tan(2x-60) =1≤x≤360

Jawab :

tan (2x - 60°) = 1
tan (2x - 60) = tan 45 atau tan (2x - 60) = tan 225

tan (2x - 60) = 45
2x - 60 = 45 + k.180°
2x = 60 + 45 + k.180°
x = (105° + k.180°)/2
x = 52,5° + k.90°

tan (2x - 60°) = tan 225°
2x = 60 + 225 + k.180°
x = 142,5° + k.90°

k bilangan bulat
0° ≤ x ≤ 360°

k = 0 ---> x = 52,5° , 142,5°
k = 1 ---> x = 232,5°
k = 2 ---> x = 322,5°

HP = {52,5° , 142,5° , 232,5° , 322,5°}