![](https://images.gutefrage.net/media/user/Wissenistmacht/1450970926676_nmmslarge.jpg?v=1450970927000)
![](https://images.gutefrage.net/media/user/DrChimpanzee/1444748830_nmmslarge.jpg?v=1444748830000)
s(t)=smax*sin(w*t+pi/2)
s(t)/smax=sin(w*t+pi/2)
arcsin(s(t)/smax)=w*t+pi/2
arcsin(s(t)/smax)-pi/2=w*t
(arcsin(s(t)/smax)-pi/2)/w=t
s(t)=smax*sin(w*t+pi/2)
s(t)/smax=sin(w*t+pi/2)
arcsin(s(t)/smax)=w*t+pi/2
arcsin(s(t)/smax)-pi/2=w*t
(arcsin(s(t)/smax)-pi/2)/w=t