Important values to remember

Try to learn this values, at least the sine and cosine ones, because they will be very useful when you won’t have a calculator.

$\alpha$ $\alpha$ (Radians) $\sin\alpha$ $\cos\alpha$ $\tan\alpha \space [=\frac{\sin\alpha}{\cos\alpha}]$
0 0 1 0
30° $\frac{\pi}{6}$ $\frac{1}{2}$ $\frac{\sqrt{3}}{2}$ $\frac{\sqrt{3}}{3}$
45° $\frac{\pi}{4}$ $\frac{\sqrt{2}}{2}$ $\frac{\sqrt{2}}{2}$ 1
60° $\frac{\pi}{3}$ $\frac{\sqrt{3}}{2}$ $\frac{1}{2}$ $\sqrt{3}$
90° $\frac{\pi}{2}$ 1 0 DOES NOT EXIST

Magic trick below ⬇️

https://www.youtube.com/watch?v=jI81WXyFrL0

Associations between different angles

Here are some important associations between different angles.

For $-\alpha$:

For $\frac{\pi}{2}-\alpha$:

For $\frac{\pi}{2}+\alpha$:

For $\pi-\alpha$:

For $\pi+\alpha$: