Simplify the given expression \(\sqrt{\frac{1 - cos x}{1 + cos x}}\)
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
Correct Answer: Option A
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 = \(\frac{1 - cos x}{sin x}\)
\(\sqrt{\frac{1 - cos x}{1 + cos x}}\) = 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 = \(\frac{1 - cos x}{sin x}\)