$\text{A.}$ $\omega=\frac{\pi}{2}, \varphi=\frac{\pi}{4}$
$\text{B.}$ $\omega=\frac{\pi}{3}, \varphi=\frac{\pi}{6}$
$\text{C.}$ $\omega=\frac{\pi}{4}, \varphi=\frac{\pi}{4}$
$\text{D.}$ $\omega=\frac{\pi}{4}, \varphi=\frac{5 \pi}{4}$
$\text{E.}$
$\text{F.}$