Question
Which one is not periodic
A.
$$\left| {\sin 3x} \right| + {\sin ^2}x$$
B.
$$\cos \sqrt x + {\cos ^2}x$$
C.
$$\cos 4x + {\tan ^2}x$$
D.
$$\cos 2x + {\sin}x$$
Answer :
$$\cos \sqrt x + {\cos ^2}x$$
Solution :
$$\eqalign{
& \because \,\,\cos \sqrt x {\text{ is non periodic}} \cr
& \therefore \,\,{\text{cos}}\sqrt x + {\cos ^2}x\,{\text{can not be periodic}}{\text{.}} \cr} $$