3. Unit Circle

If the terminal side of an angle measuring $\theta$ radians is in standard position, at what point does it intersect the unit circle?

Which expression is equivalent to $\cos 120°$?

Which of the following steps correctly explains how to find the exact value of $\sin (570°)$ on the unit circle?

The radius of the unit circle intersects the circle at the point where the angle is $\frac{\pi }{4}$ radians. What is the approximate value of $y$ at this point?

On the unit circle centered at point $O$, which of the following best describes a central angle whose intercepted arc has a length equal to $1$ unit?

On the unit circle, in which quadrant are both $\cos$ and $\cot$ negative?

What is the value of $\tan \frac{\pi }{3}$ on the unit circle?

Which of the following explains why $\cos (60°)$ equals $\sin (30°)$ using the unit circle?

Which of the following expressions is equivalent to $\sin (22°)$?

Given the function $y=3\cdot \sin \left(2x\right)$, what are its amplitude and period?

On the unit circle, if point A is at $(1,0)$ and point D is at $(0,1)$, what is the measure in radians of the arc from A to D (arc AD)?

Given $x=\sin \frac{\pi }{2}$ and $y=\cos \frac{\pi }{2}$, which of the following is correct for $x$ and $y$ where $0\le \theta \le \pi$?

Which of the following situations can be modeled with a periodic function?

Which expression is equivalent to $\sin \frac{7\pi }{6}$?