Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

If $0<x<\frac{\pi}{2}$, then

Options:

$\cos x>1-\frac{2 x}{\pi}$

$\cos x<1-\frac{2 x}{\pi}$

$\cos x>\frac{2 x}{\pi}$

$\cos x<\frac{2 x}{\pi}$

Correct Answer:

$\cos x>1-\frac{2 x}{\pi}$

Explanation:

It is evident from the graphs of the functions

$y=\cos x$ and $y=1-\frac{2 x}{\pi}$ that

$\cos x>1-\frac{2 x}{\pi}$