Evaluate each of the following: cos2 30° + cos2 45° + cos2 60° +

1.	Evaluate each of the following: cos2 30° + cos2 45° + cos2 60° + cos2 90°
Answer» cos² 30° + cos² 45° + cos² 60° + cos² 90° = \((\frac{\sqrt{3}}{2})^2 \) + \((\frac{1}{\sqrt{2}})^2 \) + \((\frac{1}{2})^2 \) + (0)² = \(\frac{3}{4} + \frac{1}{2} + \frac{1}{4} = \frac{3}{2}\)

Evaluate each of the following: cos2 30° + cos2 45° + cos2 60° + cos2 90°

Answer»

cos² 30° + cos² 45° + cos² 60° + cos² 90°

= \((\frac{\sqrt{3}}{2})^2 \) + \((\frac{1}{\sqrt{2}})^2 \) + \((\frac{1}{2})^2 \) + (0)²

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