Find the value of:

sin² 30° + cos² 30° + cot² 45°

$\text{sin}^2 30° + \text{cos}^2 30° + \text{cot}^2 45° = \Big(\dfrac{1}{2}\Big)^2 + \Big(\dfrac{\sqrt3}{2}\Big)^2 + (1)^2\\[1em] = \dfrac{1}{4} + \dfrac{3}{4} + 1\\[1em] = \dfrac{1 + 3}{4} + 1\\[1em] = \dfrac{4}{4} + 1\\[1em] = 1 + 1\\[1em] = 2$

Hence, sin² 30° + cos² 30° + cot² 45° = 2.