The range of f(x) = 2x - 2x contains the set - Vidyadip

MCQ

The range of $f(x) = \cos 2x - \sin 2x$ contains the set

A
$[2, 4]$
✓
$[-1, 1]$
C
$[-2, 2]$
D
$[-4, 4]$

✓

Answer

Correct option: B.

$[-1, 1]$

b
(b) $f(x) = \sqrt 2 \,\left[ {\sin \left( {\frac{\pi }{4} - 2x} \right)} \right]$

$\therefore \,\, - \sqrt 2 \le f(x) \le \sqrt 2 $ and $[ - 1,\,\,1]\, \subset \,[ - \sqrt 2 ,\sqrt 2 ]$.

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