Simplify the given expression \(\sqrt{\frac{1 – cos x}{1 + cos x}}\)

Explanation

\(\sqrt{\frac{1 - cos x}{1 + cos x}}\) = a

a² = \(\frac{1 - cosx}{1 + cosx}\)

\(\frac{1 - cosx}{1 + cosx}\) = \(\frac{1 - cosx}{1 - cosx}\)

= \(\frac{(1 - cosx)^2}{cos^2 x}\)

a² = \(\frac{(1 - cos x)^2}{sin^2 x}\)

a = \(\frac{1 - cos x}{sin x}\)