Answer
$f(t+p)=f(t)$,
period $2\pi$, amplitude $1$,
see graph.
Work Step by Step
$f(t+p)=f(t)$ if $p$ is the period of $f(t)$,
The period of $y=sinx$ and $y=cosx$ is $2\pi$ with an amplitude of $1$
The graph of the two functions is shown in the figure.