# Condition of periodic function for |sin πx|

Period of |sin πx| = 1

Wolfram alpha :

So why this condition for Periodic function is not true?

f(x) = f(x + T)

Wolfram alpha :

$$|\sin(\pi\cdot (0 + 1))|$$
$$|\sin(\pi\cdot 0)+1|$$
You should put it $|sin(\pi(0+1))|$ You should replace $x$ by $x+1$. Check their graphs for better understanding