The value of (sin2 30° . cos2 60°) + (5tan2 45°) + 2/3 sin2 90° :

(sin² 30° . cos² 60°) + (5tan² 45°) + \(\frac{2}{3}\)sin² 90° 

= (\(\frac{1}{4}\) . \(\frac{1}{4}\)) + 5 + \(\frac{2}{3}\)(1)²

= \(\frac{1}{16}\) + 5 + \(\frac{2}{3}\)

= \(\frac{3 + 240 + 32}{48}\)

= \(\frac{275}{48}\)