Hi Dear Community,

Want to solve the inequality:

-Cos[omega] Cos[psi] Sin[phi] + Sin[omega] Cos[phi] >= 0

where I have conditional expressions:

s[1] - u[1]<psi<s[1] + u[1] and t[1] - u[1]<phi<t[1] + u[1]

where u[i],t[i] and s[i] are values from a string of values.

I want to have an output that either tells me that it is true or not true.

So I wrote the following:

test[omega_] := 
 Simplify[-Cos[omega] Cos[psi] Sin[phi] + Sin[omega] Cos[phi] >= 0, 
  s[1] - u[1] <= psi <= s[1] + u[1] && 
   t[1] - u[1] <= phi <= t[1] + u[1]]

so for omega=0.1, I write: test[0.1]

Eventually I want to make such a function

test[omega,i]:=Table[ Simplify[-Cos[omega] Cos[psi] Sin[phi] + Sin[omega] Cos[phi] >= 0, 
  s[1] - u[1] <= psi <= s[1] + u[1] && 
   t[1] - u[1] <= phi <= t[1] + u[1]],{i,1,imax}]

The problem: The boundaries for phi and psi are not numbers and therefore there are problems evaluating it.

Sorry if I am not completely clear and thanks for any help.