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Homework Statement
Check the periodicity of the function f(x)=sinx*cosx, and if it is periodic, find the period of the function.
Homework Equations
The function f(x), [itex]x \in D[/itex], it is periodic if there is real number [itex]T \neq 0[/itex], so that:
1o [itex]x \in D[/itex] and [itex]x \pm T \in D[/itex];
2o f(x+T)=f(x)
The Attempt at a Solution
[tex]f(x)=sinx*cosx=sin(x+2\pi)*cos(x+2\pi)[/tex]
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