91Ó°ÊÓ

In Exercises 1-10, find the measure (in radians) of a central angle \(\theta\) that intercepts an arc on a circle of radius \(r\) with indicated arc length \(s\). $$ r=10 \mathrm{~cm}, s=2 \mathrm{~cm} $$

In Exercises 1-10, find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle of arc length \(s\) in time \(t\). Label your answer with correct units. $$ s=2 \mathrm{~m}, t=5 \mathrm{sec} $$

In Exercises 1-14, find the exact values of the indicated trigonometric functions using the unit circle. $$ \sin \left(\frac{5 \pi}{3}\right) $$

In Exercises 1-10, find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle of arc length \(s\) in time \(t\). Label your answer with correct units. $$ s=12 \mathrm{ft}, t=3 \mathrm{~min} $$

In Exercises 1-14, find the exact values of the indicated trigonometric functions using the unit circle. $$ \cos \left(\frac{5 \pi}{3}\right) $$

In Exercises 1-12, find the exact length of each arc made by the indicated central angle and radius of each circle. $$ \theta=4, r=5 \mathrm{~cm} $$

In Exercises 1-10, find the measure (in radians) of a central angle \(\theta\) that intercepts an arc on a circle of radius \(r\) with indicated arc length \(s\). $$ r=20 \mathrm{~cm}, s=2 \mathrm{~cm} $$

In Exercises 1-12, find the exact length of each arc made by the indicated central angle and radius of each circle. $$ \theta=\frac{\pi}{12}, r=8 \mathrm{ft} $$

In Exercises 1-14, find the exact values of the indicated trigonometric functions using the unit circle. $$ \cos \left(\frac{7 \pi}{6}\right) $$

In Exercises 1-10, find the measure (in radians) of a central angle \(\theta\) that intercepts an arc on a circle of radius \(r\) with indicated arc length \(s\). $$ r=22 \text { in., } s=4 \text { in. } $$