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Evaluate

2 (cos⁴60 + sin⁴60) - (tan²60 + cot²45) + 3sec²30

$2 (\cos^{4} 60 + \sin^{4} 60) - (\tan^{2} 60 + \cot^{2} 45) + 3 \sec^{2} 30 = 2 ({(\frac{1}{2})}^{4} + {(\frac{\sqrt{3}}{2})}^{4}) - ({(\sqrt{3})}^{2} + 1^{2}) + 3 {(\frac{2}{\sqrt{3}})}^{2} = 2 (\frac{10}{16}) - 4 + 4 = \frac{5}{4}$

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