Find the value of:

cosec² 60° - tan² 30°

$\text{cosec}^2 60° - \text{tan}^2 30° = \Big(\dfrac{2}{\sqrt3}\Big)^2 - \Big(\dfrac{1}{\sqrt3}\Big)^2\\[1em] = \dfrac{4}{3} - \dfrac{1}{3}\\[1em] = \dfrac{4 - 1}{3}\\[1em] = \dfrac{3}{3}\\[1em] = 1$

Hence, cosec² 60° - tan² 30° = 1.