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

\(\frac{275}{48}\) \(\frac{48}{275}\) 1 0

\(\frac{275}{48}\)

(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 + \(\frac{2}{3}\) = \(\frac{3 + 240 + 32}{48}\) = \(\frac{275}{48}\)