Evaluate each of the following: 4(sin4 30° + cos2 60°) - 3(cos2 45�

1.	Evaluate each of the following: 4(sin4 30° + cos2 60°) - 3(cos2 45° - sin2 90°) - sin2 60°
Answer» 4(sin⁴ 30° + cos² 60°) - 3(cos² 45° - sin² 90°) - sin² 60° \(4(\frac{1}{16} + \frac{1}{4}) - 3(\frac{1}{2} - 1) - \frac{3}{4}\) = \(\frac{20}{16} + \frac{3}{2} - \frac{3}{4}\) = 2

Evaluate each of the following: 4(sin4 30° + cos2 60°) - 3(cos2 45° - sin2 90°) - sin2 60°

Answer»

4(sin⁴ 30° + cos² 60°) - 3(cos² 45° - sin² 90°) - sin² 60°

\(4(\frac{1}{16} + \frac{1}{4}) - 3(\frac{1}{2} - 1) - \frac{3}{4}\)

= \(\frac{20}{16} + \frac{3}{2} - \frac{3}{4}\)

= 2