91Ó°ÊÓ

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 \(110.0^{\circ}\) ares?

Solve the given problems. A section of road follows a circular are with a central angle of \(15.6^{\circ} .\) The radius of the inside of the curve is \(285.0 \mathrm{m},\) and the road is \(15.2 \mathrm{m}\) wide. What is the volume of the concrete in the road if it is 0.305 m thick?

Determine the quadrant in which the terminal side of \(\theta\) lies, subject to both given conditions. $$\csc \theta<0, \tan \theta<0$$

Find \(\theta\) for \(0^{\circ} \leq \theta<360^{\circ}\). $$\tan \theta=0.932, \sin \theta<0$$

Find \(\theta\) for \(0^{\circ} \leq \theta<360^{\circ}\) $$\cos \theta=-0.12, \tan \theta>0$$

The given numbers express the angle measure. Express the measure of each angle in terms of degrees, with the same accuracy as the given value. $$\sin \frac{\pi}{4}$$

Determine the quadrant in which the terminal side of \(\theta\) lies, subject to both given conditions. $$\sin \theta>0, \cot \theta<0$$

Evaluate the given trigonometric functions by first changing the radian measure to degree measure. Round off results to four significant digits. $$\tan \frac{5 \pi}{12}$$

Determine the function that satisfies the given conditions. $$\text { Find } \tan \theta \text { when } \sin \theta=-0.5736 \text { and } \cos \theta>0$$

Find \(\theta\) to four significant digits for \(0 \leq \theta<2 \pi\). $$\sin \theta=0.3090$$