91Ó°ÊÓ

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

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. $$-34.4$$

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

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

solve the given problems. A DVD has a diameter of 4.75 in. and rotates at \(360.0 \mathrm{r} / \mathrm{min}\). What is the linear velocity of a point on the outer edge?

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

Find the exact value of each expression without the use of a calculator. (Hint: Start by expressing each quantity in terms of its reference angle.) $$\sec 130^{\circ}-\sec 230^{\circ}+\sec 300^{\circ}$$

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

solve the given problems. The flywheel of a car engine is \(0.36 \mathrm{m}\) in diameter. If it is revolving at \(750 \mathrm{r} / \mathrm{min}\), through what distance does a point on the rim move in \(2.00 \mathrm{s} ?\)

Evaluate the given trigonometric functions directly, without first changing to degree measure. Round answers to three significant digits. $$\tan 3.47$$