91Ó°ÊÓ

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. $$ \theta=2.4, r=5.5 \mathrm{~cm} $$

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. $$ \sin \left(-60^{\circ}\right) $$

In Exercises 21-32, find the angular speed associated with rotating a central angle \(\theta\) in time \(t\). $$ \theta=18.3, t=30.45 \mathrm{hr} $$

In Exercises 21-32, find the angular speed associated with rotating a central angle \(\theta\) in time \(t\). $$ \theta=200^{\circ}, t=5 \mathrm{sec} $$

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. $$ \cos \left(-45^{\circ}\right) $$

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. $$ \theta=\frac{\pi}{10}, r=6 \mathrm{ft} $$

$$ \text { In Exercises } 25-38 \text {, convert each angle measure from radians to degrees. } $$ $$ \frac{3 \pi}{4} $$

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. $$ \cos \left(-135^{\circ}\right) $$

In Exercises 21-32, find the angular speed associated with rotating a central angle \(\theta\) in time \(t\). $$ \theta=60^{\circ}, t=0.2 \mathrm{sec} $$

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. $$ \theta=\frac{\pi}{10}, r=6 \mathrm{ft} $$