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**1. The problem statement, all variables and given/known data**

Find the values for x.

[tex]3sin^2x - 3sinxcosx + 2cos^2x > 1[/tex]

**2. Relevant equations**

**3. The attempt at a solution**

[tex]3sin^2x - 3sinxcosx + 2cos^2x > 1[/tex]

[tex]3sin^2x - 3sinxcosx + 2cos^2x > sin^2x+cos^2x[/tex]

[tex]2sin^2x - 3sinxcosx + cos^2x > 0[/tex]

What to do next?