The Unit Circle is really important for understanding radians and degrees in trigonometry.

1. What They Are:

• When you go all the way around the circle, it equals $360^\circ$ or $2\pi$ radians.
• So, $1$ radian is about $57.3^\circ$. You can find this by using the formula $\frac{180^\circ}{\pi}$.

2. Important Angles:

• Here are some common angles you should know:
  • $0^\circ$ is the same as $0$ radians.
  • $90^\circ$ equals $\frac{\pi}{2}$ radians.
  • $180^\circ$ is the same as $\pi$ radians.
  • $270^\circ$ equals $\frac{3\pi}{2}$ radians.
  • $360^\circ$ equals $2\pi$ radians.

3. How It Helps:

• The Unit Circle helps us switch between radians and degrees.
• It also makes it easier to understand trigonometric functions.
• Plus, it’s useful for graphing these functions and shows how they repeat in a cycle.