Convert this relation to a function

[CSteiner]

can anyone convert the relation tan y=(Vsin(y)-gx)/Vcos(y) to an explicit function y=f(x) in terms of V, x and g?

g is a constant
V is the function V(x)= -aln(b/b-cx)-dx

a,b,c,and d are also constants.

Thanks!

 

[mathman]

tany = siny/cosy, so unless cosy = 0, you have:
Vsiny=Vsiny-gx
or go back one step and you have tany = tany - gx/Vcosy.

In any case, there is no function.

 

[CSteiner]

I was afraid of that. This relation was supposed to model the angle of attack of a rocket projectile. I guess I'll have to derive a different way of modeling it. Thanks!