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Magazine Problem 33
Find \(\theta\) for \(0^{\circ} \leq \theta<360^{\circ}\). $$\sin \theta=0.870, \cos \theta<0$$
Problem 33
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. $$12.4$$
Problem 34
Solve the given problems. The propeller of the motor on a motorboat is rotating at \(130 \mathrm{rad} / \mathrm{s}\) What is the linear velocity of a point on the tip of a blade if it is \(22.5 \mathrm{cm}\) long?
Problem 34
Determine the quadrant in which the terminal side of \(\theta\) lies, subject to both given conditions. $$\tan \theta<0, \cos \theta>0$$
Problem 34
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. $$-34.4$$
Problem 34
Find \(\theta\) for \(0^{\circ} \leq \theta<360^{\circ}\). $$\tan \theta=0.932, \sin \theta<0$$
Problem 35
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. $$-16.42$$
Problem 35
Solve the given problems. A storm causes a pilot to follow a circular-arc route, with a central angle of \(12.8^{\circ},\) from city \(\mathrm{A}\) to city \(\mathrm{B}\) rather than the straight-line route of \(185.0 \mathrm{km}\). How much farther does the plane fly due to the storm?
Problem 35
Find \(\theta\) for \(0^{\circ} \leq \theta<360^{\circ}\) $$\cos \theta=-0.12, \tan \theta>0$$
Problem 35
Determine the quadrant in which the terminal side of \(\theta\) lies, subject to both given conditions. $$\sin \theta<0, \tan \theta>0$$
