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3cos²x-sin²x-1>0
3cos²x-(1-cos²x)-1>0
3cos²x- 1+cos²x -1>0
4cos²x -2>0
4cos²x >2 /:4
cos²x >1/2
(c0sx-√1/2)(c0sx+√1/2)>0
c0sx=t, t∈<-1;1>
(t-√2 /2)(t+√2 /2)>0
t=√2 /2 lub t=-√2 /2
patrabola ramiona w góre
t>√2 /2 lub t<-√2 /2
c0sx>√2 /2 lub c0sx<-√2 /2
x∈<0;π/4>u3/4π;5/4π>u<7/4π;2π>