α [°] | 0° | 30° | 45° | 60° | 90° | 180° | 270° | 360° |
---|---|---|---|---|---|---|---|---|
x [rad] | 0 | π 6 |
π 4 |
π 3 |
π 2 |
π | 3π 2 |
2π |
sin x | 0 | 1 2 |
√2 2 |
√3 2 |
1 | 0 | -1 | 0 |
cos x | 1 | √3 2 |
√2 2 |
1 2 |
0 | -1 | 0 | 1 |
tg x | 0 | √3 3 |
1 | √3 | nedef. | 0 | nedef. | 0 |
cotg x | – | √3 | 1 | √3 3 |
0 | – | 0 | – |
sin2 x + cos2 x = 1
tg x · cotg x = 1
sin 2x = 2 · sin x · cos x
cos 2x = cos2 x − sin2 x