sin2 30° cos2 45° + 4 tan2 30° + \(\frac{1}2\) sin2 90° - 2 cos2 90° + \(\frac{1}{24}\) cos2 0°
= \((\frac{1}2)^2\) x \((\frac{1}{\sqrt2})^2\) + 4 x \((\frac{1}{\sqrt3})^2\) + \(\frac{1}2\) x (1)2 - 2 x (0)2 + \(\frac{1}{24}\) x (1)2
= \(\frac{1}4\)x \(\frac{1}2\) + \(\frac{4}3\) + \(\frac{1}2\) - 0 = \(\frac{1}{24}\)
= \(\frac{1}8\) + \(\frac{4}3\) + \(\frac{1}2\) + \(\frac{1}{24}\) = 2