Differentiation Question 67

Question: $ \frac{d}{dx}\sqrt{\frac{1+\cos 2x}{1-\cos 2x}}= $

Options:

A) $ {{\sec }^{2}}x $

B) $ -cose{c^{2}}x $

C) $ 2{{\sec }^{2}}\frac{x}{2} $

D) $ -2cose{c^{2}}\frac{x}{2} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{d}{dx}\sqrt{\frac{1+\cos 2x}{1-\cos 2x}}=\frac{d}{dx}\cot x=-cose{c^{2}}x $ .