√6 sin x° + √2 cos x° = 2; 0 ≤ x ≤ 360
k = √(√2)² + (√6)²
= √8
= 2√2
tan α = √6 × √2
√2 √2
= √12
2
= 2√3 ➝ α = kuadran I
2 α = 60°
√6 sin x° + √2 cos x° ➞ k cos(x° – α)
2√2 cos(x – 60)° = 2
cos(x – 60)° = 2
√2
cos(x – 60)° = cos 45°
x – 60 = ± 45 + n . 360
x = 45 + 60 + n . 360
x = 105
Dan x = -45 + 60 + n . 360 ➞ x = 15
Makara, himpunan penyelesaian: 15, 105