Question

what is the domain plz help fast
$\sqrt{ \cos((2 \sin(x) ) }$
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Answer 1

Answer:

We have,

$f(x) = \sqrt{ \cos(2 \sin(x) ) }$

Now,

$\cos(2 \sin(x) ) \geqslant 0$

$\implies(2n - 1) \frac{\pi}{2} \leqslant 2 \sin(x) \leqslant (2n + 1) \frac{\pi}{2} ....where \: \: n \in \: z$

$\implies(2n - 1) \frac{\pi}{4} \leqslant \sin(x) \leqslant (2n + 1) \frac{\pi}{4}$