6. Trigonometric Identities and More Equations

In a $\mathrm{circle}$, if two $\mathrm{chords}$ are $\mathrm{congruent}$, what can be said about the $\mathrm{arcs}$ they subtend?

Use the given information to find each of the following.

sin x, given cos 2x = 2/3 , with π < x < 3π/2

In the context of the $unit circle$, which of the following best represents an $intercepted arc$?

Which of the following correctly expresses the relationship between the length of an arc $s$ of a circle, its radius $r$, and the central angle $\theta$ in radians?