# Functions are not continuous in their work

**Calculus**Level pending

Find the number of integral point(**s**) of continuity of
f(x)=
\[sin(\frac{\pi}{4} \{x\}) \]if [x] is odd and

\[cos(\frac{\pi}{4} (1- \{x\} ))\]if [x] is even
in the interval (0,4), where [x] denotes greatest integer function and {x} denotes fractional part of x.