Question

Evaluate each of the following:

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

Answer 1

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

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

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

= 2