To help remember inverse trigonometric functions and their values, students can use several helpful tricks:

1. Know the Basics:

   • Start by getting to know the basic definitions:
     • For $y = \arcsin(x)$, it means that $\sin(y) = x$, but $x$ must be between -1 and 1.
     • The same idea works for $\arccos(x)$ and $\arctan(x)$.

2. Remember Key Values:

   • It’s important to remember these special values:
     • $\arcsin(0) = 0$ and $\arcsin(1) = \frac{\pi}{2}$.
     • $\arccos(1) = 0$ and $\arccos(0) = \frac{\pi}{2}$.
     • $\arctan(0) = 0$ and $\arctan(1) = \frac{\pi}{4}$.

3. Look for Connections:

   • Notice how these functions relate to each other:
     • For values between 0 and 1, $\arcsin(x) + \arccos(x) = \frac{\pi}{2}$.
     • If $x$ is more than 0, then $\arctan(x) + \arctan\left(\frac{1}{x}\right) = \frac{\pi}{2}$.

4. Do Practice Problems:

   • Work on practice problems and take mock tests to help remember and understand better.

5. Use Visual Tools:

   • Look at unit circle diagrams. They can help you see the angles that go with each function.

By using these tips, students can improve their memory and understanding of inverse trigonometric functions.