himpunan penyelesaian dari √3 tan 2x =3 untuk 0

jawab

√3 . tan 2x = 3
tan 2x = 3/√3 = √3 = tan 60
2x = 60 + n. 180
x = 30 + n. 90
n  = (0,1,2,3...)
n = 0 , x = 30
n = 1, x = 120
n = 2 , x = 210
n = 3, x = 300
n = 4 , x = 360
interval  x → 0  < x< 2π
x = (30, 120, 210, 300) = (1/3 π, 2/3 π , 7/6 π, 5/3 π}

TriGonoMetRi
.
√3 tan 2x = 3
tan 2x = 3/√3
tan 2x = √3
tan 2x = tan 60°
2x = 60° + k.180°
x = 30° + k.90°

Interval : 0 < x < 2π

x0 = 30° + 0.90° = 30°
x1 = 30° + 1.90° = 120°
x2 = 30° + 2.90° = 210°
x3 = 30° + 3.90° = 300°

HP = {30° , 120°, 210°< 300°} ✔