# How do you find the amplitude and period for y=cos(1/2x)-2?

Amplitude: $1$ , Period: $4 \pi$
Comparing with the general sinusoidal function,$A \cos \left(B x + c\right) + D$, where $A$ is the amplitude,$\frac{2 \pi}{|} B |$ is period ,$- \frac{c}{|} B |$is phase shift and $D$is vertical shift , we get amplitude as $1$ and period as$\frac{2 \pi}{\frac{1}{2}} = 4 \pi$[Ans]