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