# How do I solve inequalities with conditional expression (variables)?

GROUPS:
 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]= 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.
 I notices something more:If I choose omega=0 therefore Table[test[0, s[i], t[i], u[i]], {i, 1, 5}] he gives me outputs that such as True,FalseBut if omega is anything else then 0,Pi/2 and I run: test[omega_, psiFix_, phiFix_, delta_] := FullSimplify[-Cos[omega] Cos[psi] Sin[phi] + Sin[omega] Cos[phi] >= 0, psiFix - delta < psi < psiFix + delta && phiFix - delta < phi < phiFix + delta] Table[test[0.1, s[i], t[i], u[i]], {i, 1, 5}] I get such crappy outputs: {1. Cos[phi] >= 9.96664 Cos[psi] Sin[phi], 1. Cos[phi] >= 9.96664 Cos[psi] Sin[phi], 1. Cos[phi] >= 9.96664 Cos[psi] Sin[phi], 1. Cos[phi] >= 9.96664 Cos[psi] Sin[phi], 1. Cos[phi] >= 9.96664 Cos[psi] Sin[phi]}