Evaluate each of the following:cot2 30° - 2 cos2 60° - \(\frac{3}4\

1.	Evaluate each of the following:cot2 30° - 2 cos2 60° - \(\frac{3}4\)sec2 45° - 4 sec2 30°
Answer» cot² 30° - 2 cos² 60° - \(\frac{3}4\)sec² 45° - 4 sec² 30° = \((\sqrt3)^2\) - 2\((\frac{1}2)^2\) - \(\frac{3}4\) x \((\sqrt2)^2\) - 4\((\frac{2}{\sqrt3})^2\) = 3 - \(\frac{1}2\) - \(\frac{3}2\) - \(\frac{16}3\) = - \(\frac{13}3\)

Evaluate each of the following:cot2 30° - 2 cos2 60° - \(\frac{3}4\)sec2 45° - 4 sec2 30°

Answer»

cot² 30° - 2 cos² 60° - \(\frac{3}4\)sec² 45° - 4 sec² 30°

= \((\sqrt3)^2\) - 2\((\frac{1}2)^2\) - \(\frac{3}4\) x \((\sqrt2)^2\) - 4\((\frac{2}{\sqrt3})^2\)

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