Cho \(\cot \alpha = - \sqrt 2 \,\,\left( {{0^0} \le \alpha \le {{180}^0}} \right)\). Tính \(\sin \alpha \) và \(\cos \alpha \).
A. \(\sin \alpha = \frac{1}{{\sqrt 3 }};\,\,\cos \alpha = \frac{{\sqrt 6 }}{3}\)
B.\(\sin \alpha = \frac{1}{{\sqrt 3 }};\,\,\cos \alpha = - \frac{{\sqrt 6 }}{3}\)
C. \(\sin \alpha = \frac{{\sqrt 6 }}{2};\,\,\cos \alpha = \frac{1}{{\sqrt 3 }}\)
D. \(\sin \alpha = \frac{{\sqrt 6 }}{2};\,\,\cos \alpha = - \frac{1}{{\sqrt 3 }}\)