. If m and M are the minimum and the maximum values of 1 2 4 4 sin 2x 2cos x, x R, 2 +- Î then M – m is equal to :

Question:
If $\mathrm{m}$ and $\mathrm{M}$ are the minimum and the maximum values of $4+\frac{1}{2} \sin ^{2} 2 x-2 \cos ^{4} x, x \in R$, then $M-m$ is equal to

$\frac{9}{4}$
$\frac{15}{4}$
$\frac{7}{4}$
$\frac{1}{4}$

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Trigonometry chapter.

JEE Main Previous Year Online April 9, 2016

Solution:

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