Ta có:[tex]\frac{sin \alpha -cos\alpha }{sin\alpha +cos\alpha }=\frac{\frac{sin\alpha }{cos\alpha }-\frac{cos\alpha }{cos\alpha }}{\frac{sin\alpha }{cos\alpha }+\frac{cos\alpha }{cos\alpha }}=\frac{tan\alpha -1}{tan\alpha +1}=\frac{\frac{1}{3}-1}{\frac{1}{3}+1}=\frac{\frac{-2}{3}}{\frac{4}{3}}=\frac{-1}{2}[/tex]