Answer:
Step-by-step explanation:
R.H.S.=[tex]\sqrt{\frac{1-cos\alpha }{1+cos \alpha } } \\=\sqrt{\frac{1-cos\alpha }{1+cos\alpha } } \times \sqrt{\frac{1-cos\alpha }{1-cos \alpha } } \\=\frac{(\sqrt{1-cos\alpha } )^2}{\sqrt{1-cos^2 \alpha } } \\=\frac{1-cos\alpha }{\sqrt{sin^2\alpha }}\\ =\frac{1-cos\alpha }{sin \alpha } \\=\frac{1}{sin \alpha } -\frac{cos\alpha }{sin \alpha } \\=cosec \alpha -cot \alpha \\=L.H.S.[/tex]
