tan x= 1/3 akar 3, 0°< x < 3 phi

Mapel : Matematika
Kelas : XI SMA
Materi : Persamaan Trigonometri

Pembahasan :
1.

Batas Interval
0° ≤ x ≤ 3π

Tan x = 1/3 √3
Tan x = Tan 30° , Tan 210° , Tan 390°
x = 30° , 210° , 390°
x = 1/6π , 7/6π , 13/6π

Hp : {1/6π , 7/6π , 13/6π}

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2.

Batas Interval
0° ≤ x ≤ 360°

√2 + 2Cos x = 0
2Cos x = -√2
Cos x = -1/2 √2
Cos x = Cos 135° , Cos 225°
x = 135° , 225°

Maka X1 + X2 = 135 + 225 = 360