Simplify the given expression (sqrt{frac{1 – cos x}{1 + cos x}})
-
A.
(frac{1 – cos x}{sin x}) -
B.
1 – cos x -
C.
sin x -
D.
1 + cos x -
E.
(frac{1 + cos x}{sin x})
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})