Evaluate each of the following:\(\frac{4}{cot^2 30°} + \frac{1}{sin^2

1.	Evaluate each of the following:\(\frac{4}{cot^2 30°} + \frac{1}{sin^2 60°} - cos^2 45°\)
Answer» \(\frac{4}{cot^2 30°} + \frac{1}{sin^2 60°} - cos^2 45°\) = \(\frac{4}{(\sqrt{3})^2}\)+\(\frac{1}{(\frac{\sqrt{3}}{2})^2}\)-\((\frac{1}{\sqrt{2}})^2\) = \(\frac{4}{3} + \frac{4}{3} - \frac{1}{2} = \frac{13}{6}\)

Evaluate each of the following:\(\frac{4}{cot^2 30°} + \frac{1}{sin^2 60°} - cos^2 45°\)

Answer»

\(\frac{4}{cot^2 30°} + \frac{1}{sin^2 60°} - cos^2 45°\)

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

= \(\frac{4}{3} + \frac{4}{3} - \frac{1}{2} = \frac{13}{6}\)