Answer
$y=a\cdot sin(x-b)$, we have $a=\pm 5, b=0,\pm\pi,\pm 2\pi, \pm 3\pi...$
$y=a\cdot cos(x-b)$, we have $a=\pm 5, b=\pm\frac{\pi}{2},\pm\frac{3\pi}{2},\pm\frac{5\pi}{2},...$
Work Step by Step
$y=a\cdot sin(x-b)$, we have $a=\pm 5, b=0,\pm\pi,\pm 2\pi, \pm 3\pi...$
$y=a\cdot cos(x-b)$, we have $a=\pm 5, b=\pm\frac{\pi}{2},\pm\frac{3\pi}{2},\pm\frac{5\pi}{2},...$
The above should cover all the possible choices as the fundamental repeating cell width of sinusoidal is $\frac{\pi}{2}$,
in other words, the shift can not be smaller than $\frac{\pi}{2}$.
