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. $$ \sin \left(-\frac{7 \pi}{6}\right) $$

In Exercises 11-20, find the distance traveled (arc length) of a point that moves with constant speed \(v\) along a circle in time \(t\). $$ v=23 \mathrm{ft} / \mathrm{s}, t=3 \mathrm{~min} $$

In Exercises 13-24, find the exact length of each radius given the arc length and central angle of each circle. $$ s=\frac{4 \pi}{9} \mathrm{yd}, \theta=20^{\circ} $$

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. $$ \cos \left(-\frac{3 \pi}{4}\right) $$

$$ \text { In Exercises 11-24, convert each angle measure from degrees to radians. Leave answers in terms of } \pi \text {. } $$ $$ 170^{\circ} $$

In Exercises 11-20, find the distance traveled (arc length) of a point that moves with constant speed \(v\) along a circle in time \(t\). $$ v=46 \mathrm{~km} / \mathrm{hr}, t=20 \mathrm{~min} $$

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. $$ \cos \left(-\frac{5 \pi}{3}\right) $$

$$ \text { In Exercises 11-24, convert each angle measure from degrees to radians. Leave answers in terms of } \pi \text {. } $$ $$ 340^{\circ} $$

In Exercises 13-24, find the exact length of each radius given the arc length and central angle of each circle. $$ s=\frac{11 \pi}{6} \mathrm{~cm}, \theta=15^{\circ} $$

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