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

Which of the following statements is true about the measure of an inscribed angle that intercepts an arc on the $unitcircle$?

If the period of a trigonometric function is $T$, how many complete cycles of the function occur in a horizontal length of $L$?

Given a point on the unit circle corresponding to an angle $\theta$ measured from the positive x-axis, what is the x-coordinate of the point (x, y)?

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, what is the radian measure of the arc that subtends a central angle of $90°$?

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

On the unit circle, for $0<\theta <\pi$, when is $tan\left(\theta \right)$ undefined?