Given two unit vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ on the unit circle, what is the angle $\theta$ between them if $\overrightarrow{a}$ = $\left(1,0\right)$ and $\overrightarrow{b}$ = $\left(0,1\right)$? Express your answer using one significant figure.

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

Given the function $y=3\cdot \sin \left(x\right)$, what is the amplitude of the sinusoidal function?

On the unit circle, if the terminal point is at $(x,y)$, how many radius lengths is it to the right of the circle's vertical diameter?

Given the parametric equation $r\left(t\right)=\left(\cos \right(t),\sin (t),t)$, where does the helix lie?

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?

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

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)?