Trigonometric and Polar Functions

What is the value of $\cos(\frac{\pi}{3})$?

Given that $\sin(\theta) = \frac{1}{2}$ and $\theta$ is in the second quadrant, what is the value of $\theta$?

What is the amplitude of the sinusoidal function $f(x) = 5\sin(3x) + 2$?

A buoy oscillates vertically as waves pass by. It reaches a maximum height of 7 feet and a minimum height of 3 feet. The buoy completes one full oscillation every 6 seconds. Assuming the buoy's height can be modeled by a sinusoidal function, write an equation for the height $h$ of the buoy as a function of time $t$, wh...

Solve for $x$: $2\sin(x) = 1$, where $0 \le x < 2\pi$.

If $\sin(x) = \frac{1}{3}$, what is the value of $\csc(x)$?

Which of the following graphs represents a periodic phenomenon?

A point on the unit circle has coordinates $(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2})$. What are the corresponding cosine and sine values for this point?

What is the range of the function $f(x) = 3\cos(x) - 1$?

What is the value of $\arcsin(\frac{\sqrt{3}}{2})$?