The value of ^2 ( 8 +x 2 )- ^2 ( 8 -x 2 ) is : - Vidyadip

MCQ

The value of $\cos ^2\left(\frac{\pi}{8}+\frac{x}{2}\right)-\sin ^2\left(\frac{\pi}{8}-\frac{x}{2}\right)$ is :

A
$\sqrt{2} \cos x$
✓
$\frac{1}{\sqrt{2}} \cos x$
C
$2 \sin \frac{x}{2}$
D
$2 \cos \frac{x}{2}$

✓

Answer

Correct option: B.

$\frac{1}{\sqrt{2}} \cos x$

(B)

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