Answer:
Step-by-step explanation:
[tex]LHS = \dfrac{1 - Cos \ x}{1 + Cos \ x}\\\\=\dfrac{(1-Cos \x)(1-Cos \ x)}{(1+Cos \x)(1 - Cos \x)}\\\\=\dfrac{(1-Cos \ x)^{2}}{1^{2}-(Cos x)^{2}}\\\\ = \dfrac{(1 - Cos \x )^{2}}{Sin^{2} \ x}\\\\=\left(\dfrac{1-Cos \ x}{Sin \ x}\right)^{2}\\\\= \left(\dfrac{1}{Sin \ x}-\dfrac{Cos \ x}{Sin \ x} \right)^{2}\\\\= \left(Csc \x - Cot \ x)^{2}[/tex]
