A trig related function where the amplitude under the x axis decreases but the amplitude above the x axis increases as we move in the +x direction?

Can a function that looks like this be expressed in terms of just elementary functions? Just the amplitude is changing not the "period"

It should also stay touching the x axis so something like sinx + (nx)m stops working at some point no matter what.

Can a function that looks like this be expressed in terms of just elementary functions? Just the amplitude is changing not the "period"

It should also stay touching the x axis so something like sinx + (nx)m stops working at some point no matter what.