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Mapel : Matematika PeminatanKelas : XI SMA
Materi : Persamaan Trigonometri
Pembahasan :
Batas Interval
0° ≤ x ≤ 360°
Tan x - √2 = 1/(Tan x + √2)
(Tan x - √2)/(Tan x + √2) = 1
Tan²x - 2 = 1
Tan²x - 3 = 0
Tan²x - (√3)² = 0
(Tan x + √3)(Tan x - √3) = 0
Tan x = √3
Tan x = Tan 60° , Tan 240°
x = 60° , 240°
Tan x = -√3
Tan x = Tan 120° , Tan 300°
x = 120° , 300°
Hp : {60° , 120° , 240° , 300°}
Jawaban : C