Simplify exactly. Be sure that each part of your final answer is in lowest terms with a rational denominator.
−59sec2(30∘)+38cos2(45∘)+14tan2(45∘)=\displaystyle -\frac{{5}}{{9}}{{\sec}^{{2}}{\left({30}^{\circ}\right)}}+\frac{{3}}{{8}}{{\cos}^{{2}}{\left({45}^{\circ}\right)}}+\frac{{1}}{{4}}{{\tan}^{{2}}{\left({45}^{\circ}\right)}}=−95sec2(30∘)+83cos2(45∘)+41tan2(45∘)=
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