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.

On the unit circle, which of the following points would map onto itself after a reflection across the line $y=-x$?

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 expression is equivalent to $\cos 120°$?

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?

For which values of $\theta$ is the expression ${\sec }^2\theta \cos \left(2\theta \right)$ defined on the unit circle?