Diketahui persamaan trig [tex] sinx + \sqrt{3 }cosx = 1[/tex]

TriGonoMetRi

sin x + √3 cos x = k . cos (x - a)
k = √(1² + (√3)²) = 2

tan a = 1/√3
a = 30°

sin x + √3 cos x = 1
2 cos (x - 60°) = 1
cos (x - 60°) = 1/2
x - 60° = ± 60° + k.360°
x = 60° ± 60° + k.360°
x = 120° + k.360° ✔
atau
x = k.360° ✔