# Trigonometry Identity

Level pending

Given the following trigonometry equation:

$\displaystyle \cot^4 11.25^\circ + \cot^4 22.5^\circ + \cot^4 33.75^\circ + \tan^4 11.25^\circ + \tan^4 22.5^\circ + \tan^4 33.75^\circ = N$

Find the value of $$\displaystyle N$$ where $$\displaystyle N$$ is a positive integer.

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