91Ó°ÊÓ

Discuss/Explain the difference between angular velocity and linear velocity. In particular, why does one depend on the radius while the other does not? Include an example from your own experience.

Discuss/Explain how knowing only one point on the unit circle, actually gives the location of four points. Why is this helpful to a study of the circular functions?

Use the formula for arc length to find the value of the unknown quantity: \(s=r \theta\). $$ \theta=2.3 ; r=129 \mathrm{~cm} $$

Use the symmetry of the circle and reference arcs as needed to state the exact value of the trig functions for the given. a. \(\cot \pi\) b. \(\cot 0\) c. \(\cot \left(\frac{\pi}{2}\right)\) d. \(\cot \left(\frac{3 \pi}{2}\right)\)

Given the point is on a unit circle, complete the ordered pair \((x, y)\) for the quadrant indicated. For Exercises 7 to 14, answer in radical form as needed. For Exercises 15 to 18 , round results to four decimal places. \((0.9909, y) ;\) QIV

Verify the point given is on a unit circle, then use symmetry to find three more points on the circle. Results for Exercises 19 to 22 are exact, results for Exercises 23 to 26 are approximate. $$\left(\frac{\sqrt{7}}{4},-\frac{3}{4}\right)$$

Find two positive angles and two negative angles that are coterminal with the angle given. Answers may vary. $$\theta=\frac{\pi}{3}$$

Find two positive angles and two negative angles that are coterminal with the angle given. Answers may vary. $$\theta=\frac{\pi}{2}$$

Convert the following degree measures to radians in exact form, without the use of a calculator. $$\theta=360^{\circ}$$

Convert each degree measure to radians. Leave in exact form. $$\theta=230^{\circ}$$