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.

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