91Ó°ÊÓ

Express the given angles in radian measure. Round off results to the number of significant digits in the given angle. $$478.5^{\circ}$$

For the given values, determine the quadrant(s) in which the terminal side of the angle lies. $$\sin \theta=0.5000$$

\(\text {Find } \theta \text { for } 0^{\circ} \leq \theta<360^{\circ}\) $$\tan \theta=-1.830$$

solve the given problems. A ceiling fan has blades \(61.0 \mathrm{cm}\) long. What is the linear velocity of the tip of a blade when the fan is rotating at \(8.50 \mathrm{r} / \mathrm{s} ?\)

Express the given angles in radian measure. Round off results to the number of significant digits in the given angle. $$-86.1^{\circ}$$

For the given values, determine the quadrant(s) in which the terminal side of the angle lies. $$\tan \theta=-2.500$$

\(\text {Find } \theta \text { for } 0^{\circ} \leq \theta<360^{\circ}\) $$\cos \theta=0.4003$$

\(\text {Find } \theta \text { for } 0^{\circ} \leq \theta<360^{\circ}\) $$\sec \theta=-1.637$$

solve the given problems. The arm of a car windshield wiper is 12.75 in. long and is attached at the middle of a 15.00 -in. blade. (Assume that the arm and blade are in line.) What area of the windshield is cleaned by the wiper if it swings through \(110.0^{\circ}\) arcs?

solve the given problems. Part of a railroad track follows a circular arc with a central angle of \(28.0^{\circ} .\) If the radius of the arc of the inner rail is \(93.67 \mathrm{ft}\) and the rails are \(4.71 \mathrm{ft}\) apart, how much longer is the outer rail than the inner rail?