The period of the function f(x)=sin⁡x is

Let  f(T+x)=f(x)⇒sin⁡T+x=sin⁡x⇒T+x=nπ+(−1)nxClearly, from here, no positive value of T independent of x is possible because x on RHS can be cancelled only when T = 0.∴ f (x) is a non-periodic function.