Simplify exactly. Be sure that each part of your final answer is in lowest terms with a rational denominator.
2sec2(45∘)+4cot2(45∘)+5tan2(45∘)=\displaystyle {2}{{\sec}^{{2}}{\left({45}^{\circ}\right)}}+{4}{{\cot}^{{2}}{\left({45}^{\circ}\right)}}+{5}{{\tan}^{{2}}{\left({45}^{\circ}\right)}}=2sec2(45∘)+4cot2(45∘)+5tan2(45∘)=
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