1. a) A person on a Ferris wheel makes one complete revolution in 4 min. Calculate the approximate angular velocity of the person in radians per second, to two decimal places b) Find the exact value of \frac{2}{3} \tan ^{3} \frac{11 \pi}{6}-\frac{4}{3} \cos ^{3}\left(-\frac{9 \pi}{6}\right)-\frac{1}{2} \cot ^{2} \frac{3 \pi}{4}-\frac{2}{3} \sin ^{4}\left(-\frac{2 \pi}{3}\right)+\frac{1}{8} \sec ^{3} \frac{2 \pi}{3}