If $4\cot^2 45° - \sec^2 60° + \sin^2 60° + p = \frac{3}{4}$, then find the value of $p$.

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Step 1: $4\cot^2 45° - \sec^2 60° + \sin^2 60° + p = \frac{3}{4}$
$\Rightarrow 4(1)^2 - (2)^2 + \left(\frac{\sqrt{3}}{2}\right)^2 + p = \frac{3}{4}$
Step 2: $\Rightarrow 4 - 4 + \frac{3}{4} + p = \frac{3}{4} \Rightarrow p = 0$

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