Question

Evaluate sin² 60° + 2tan 45° – cos² 30°.

Answer 1

$$\begin{gathered} {\sin }^{2}60°+2\tan 45°-{\cos }^{2}30° \\ ={\left(\frac{\sqrt{3}}{2}\right)}^2+2\times 1-{\left(\frac{\sqrt{3}}{2}\right)}^2 \\ =\frac{3}{4}+2-\frac{3}{4} \\ =2 \end{gathered}$$