tyrtfytr

sin |x| is a continuous function.

 

Reason:

Let f(x) = |x| and g(x) = sinx.

Then, (gof)(x) = g {f(x)} = g(|x|) = sin |x|

 

Now, f and g being continuous, their composite (gof) is continuous.

 

Hence, sin |x| is continuous.