Question

Evaluate each of the following: 

cot² 30 - cos ² 60 - 3/4 sec² 45 - 4sec² 30

Answer 1

cot² 30 - cos ² 60 - 3/4 sec² 45 - 4sec² 30

=\((\sqrt{3}) ^2- 2(\frac{1}{2})^2 - \frac{3}{4} \times (\sqrt{2})^2- 4(\frac{2}{\sqrt{3}})^2\)

= 3 - \(\frac{1}{2}- \frac{3}{2} - \frac{16}{3} = -\frac{13}{3}\)