Differentiation Question 241
Question: $ \frac{d}{dx}[ \log \sqrt{\frac{1-\cos x}{1+\cos x}} ]= $
[BIT Ranchi 1990]
Options:
A) $ \sec x $
B) $ \cos ecx $
C) $ \cos ec\frac{x}{2} $
D) $ \sec \frac{x}{2} $
Show Answer
Answer:
Correct Answer: B
Solution:
$ \frac{d}{dx}[ \log \sqrt{\frac{1-\cos x}{1+\cos x}} ]=\frac{d}{dx}[ \log ( \tan \frac{x}{2} ) ]=cosecx $ .
BETA
