I saw an exercise where you had to calculate the units of $C_i, i=1,2$ from an equation like this:
- $v^2=2\cdot C_1x$ and
- $x=C_1\cdot \cos(C_2\cdot t)$
- $x$ means meters,
- $t$ means seconds and
- $v$ means velocity.
For $C_1$ I got $C_1=m/s^2$. But coming to $C_2$ the cosinus irritates me somehow:
$$x=C_1 \cdot \cos(C_2 t)\Rightarrow m=m/s^2 \cdot \cos(C_2 s)\Rightarrow s^2 = \cos(C_2 s)$$
Does this mean, that $C_2$ must have the unit $s$?
Thanks a lot!