91Ó°ÊÓ

In Exercises 15-30, use the unit circle and the fact that sine is an odd function and cosine is an even function to find the exact values of the indicated functions. $$ \sin \left(-225^{\circ}\right) $$

$$ \text { In Exercises 11-24, convert each angle measure from degrees to radians. Leave answers in terms of } \pi \text {. } $$ $$ -320^{\circ} $$

In Exercises 21-32, find the angular speed associated with rotating a central angle \(\theta\) in time \(t\). $$ \theta=\frac{\pi}{2}, t=\frac{1}{10} \min $$

In Exercises 15-30, use the unit circle and the fact that sine is an odd function and cosine is an even function to find the exact values of the indicated functions. $$ \sin \left(-180^{\circ}\right) $$

In Exercises 13-24, find the exact length of each radius given the arc length and central angle of each circle. $$ s=\frac{3 \pi}{16} \mathrm{ft}, \theta=35^{\circ} $$

In Exercises 15-30, use the unit circle and the fact that sine is an odd function and cosine is an even function to find the exact values of the indicated functions. $$ \sin \left(-270^{\circ}\right) $$

In Exercises 21-32, find the angular speed associated with rotating a central angle \(\theta\) in time \(t\). $$ \theta=\frac{7 \pi}{2}, t=12 \mathrm{hr} $$

$$ \text { In Exercises } 25-38 \text {, convert each angle measure from radians to degrees. } $$ $$ \frac{\pi}{6} $$

In Exercises 25-36, use a calculator to approximate the length of each arc made by the indicated central angle and radius of each circle. Round answers to two significant digits. $$ \theta=3.3, r=0.4 \mathrm{~mm} $$

$$ \text { In Exercises } 25-38 \text {, convert each angle measure from radians to degrees. } $$ $$ \frac{\pi}{4} $$