3. Unit Circle

Consider the equation $\sin \theta$. If $\theta$ is an angle in Quadrant II, what is the value of $\sin \theta$?

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

Write the complex exponential function $e^{i\theta }$ as a sum of its real and imaginary parts:

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

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

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

For the function $f\left(x\right)=\sin \left(x\right)$ on the unit circle, what is its minimum value?

Which of the following expressions has the same value as $\tan (-45°)$?

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?