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Problem 37

solve the given problems. The paddles of a riverboat have a radius of \(8.50 \mathrm{ft}\) and revolve at \(20.0 \mathrm{r} / \mathrm{min} .\) What is the speed of a tip of one of the paddles?

Problem 37

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

Problem 37

\(\text {Find } \theta \text { for } 0^{\circ} \leq \theta<360^{\circ}\) $$\sec \theta=2.047, \cot \theta<0$$

Problem 37

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

Problem 38

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

Problem 38

\(\text {Find } \theta \text { for } 0^{\circ} \leq \theta<360^{\circ}\) $$\cot \theta=-0.3256, \csc \theta>0$$

Problem 38

Evaluate the given trigonometric functions by first changing the radian measure to degree measure. Round off results to four significant digits. $$\sin \frac{71 \pi}{36}$$

Problem 39

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?

Problem 39

Evaluate the given trigonometric functions by first changing the radian measure to degree measure. Round off results to four significant digits. $$\cos \frac{5 \pi}{6}$$

Problem 39

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

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