91Ó°ÊÓ

$$ \text { In Exercises 11-24, convert each angle measure from degrees to radians. Leave answers in terms of } \pi \text {. } $$ $$ 780^{\circ} $$

In Exercises 13-24, find the exact length of each radius given the arc length and central angle of each circle. $$ s=\frac{8 \pi}{3} \mathrm{mi}, \theta=40^{\circ} $$

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. $$ \cos \left(-\frac{5 \pi}{6}\right) $$

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. $$ \cos \left(-\frac{7 \pi}{4}\right) $$

$$ \text { In Exercises 11-24, convert each angle measure from degrees to radians. Leave answers in terms of } \pi \text {. } $$ $$ 540^{\circ} $$

In Exercises 13-24, find the exact length of each radius given the arc length and central angle of each circle. $$ s=\frac{\pi}{4} \mu \mathrm{m}, \theta=30^{\circ} $$

In Exercises 21-32, find the angular speed associated with rotating a central angle \(\theta\) in time \(t\). $$ \theta=\frac{3 \pi}{4}, t=\frac{1}{6} \sec $$

In Exercises 21-32, find the angular speed associated with rotating a central angle \(\theta\) in time \(t\). $$ \theta=100 \pi, t=5 \mathrm{~min} $$

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. $$ \sin \left(-225^{\circ}\right) $$

In Exercises 13-24, find the exact length of each radius given the arc length and central angle of each circle. $$ s=\frac{2 \pi}{11} \mathrm{~km}, \theta=45^{\circ} $$