$3\mathrm{.}8.$ Suppose we are given the following information about a signal $x(t)$ :

$x(t)$ is real and odd.

$x(t)$ is periodic with period $T=2$ and has Fourier coefficients $a_k.$

$a_k=0$ for $|k|>1.$

$\frac{1}{2}{\displaystyle \underset{0}{\overset{2}{}}}|x(t){|}^{2}dt=1.$

Specify two different signals that satisfy these conditions.