Answer
4
Work Step by Step
Given expression is-
= $ \tan^{2} 45^{\circ}$ + $ \tan^{2} 60^{\circ}$
= $ (\tan 45^{\circ})^{2}$ + $ (\tan 60^{\circ})^{2}$
= $ 1^{2} + \sqrt 3^{2}$
( substituting for exact values of trigonometric functions)
= 1 + 3
= 4
