Evaluate: 2 tan² 45° + cos² 30° – sin² 60°.

Since we know,

tan 45° = 1 , cos 30° = $\frac{\sqrt{3}}{2}$ , sin 60° = $\frac{\sqrt{3}}{2}$

Therefore, putting these values in the given equation:

= 2(1)² + ($\frac{\sqrt{3}}{2}$)² – ($\frac{\sqrt{3}}{2}$)²

= 2 + 0

= 2