Let's practise the basics

Calculus Level 5

Find the minimum of

[(sint+2)2cos2t+3cos2t(sint+2)2]2.\left[ \frac{(\sin{t}+2)^2}{\cos^2t}+\frac{3\cos^2t}{(\sin{t}+2)^2} \right]^2.


From a calculus exam I recently gave.
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