- simplifier : (2x + 6) / (4x + 6) = ?
- Signe de : 1/x − 1/x3
- résoudre : 1/x + a + 1/b = 0
- calculer : A = (1 + 1/n) × n/(n+1)
- Pythagore : sin2(θ) + cos2(θ) = 1
- définition : tan(θ) = sin(θ) / cos(θ)
| angle tour | 0 | 1/12 | 1/8 | 1/6 | 1/4 | 1/2 | 3/4 | 1 |
| angle ° | 0° | 30° | 45° | 60° | 90° | 180° | 270° | 360° |
| angle rd | 0 | π/6 | π/4 | π/3 | π/2 | π | 3π/2 | 2π |
| cos | 1 | √3/2 | √2/2 | 1/2 | 0 | −1 | 0 | 1 |
| sin | 0 | 1/2 | √2/2 | √3/2 | 1 | 0 | −1 | 0 |
| remarque : sin2 | 0/4 | 1/4 | 2/4 | 3/4 | 4/4 |
| symétrie | cos | sin |
| axe Ox | cos(− x) = cos(x) | sin(− x) = − sin(x) |
| axe Oy | cos(π − x) = − cos(x) | sin(π − x) = sin(x) |
| 1ère bissectrice | cos(π/2 − x) = sin(x) | sin(π/2 − x) = cos(x) |
| rotation(π/2) | cos(x + π/2) = − sin(x) | sin(x + π/2) = cos(x) |
| rotation(π) = sym. centre O | cos(x + π) = − cos(x) | sin(x + π) = − sin(x) |
| rotation(2π) | cos(x + 2π) = cos(x) | sin(x + 2π) = sin(x) |
- sin(x)' = cos(x) = sin(x + π/2)
- cos(x)' = − sin(x) = cos(x + π/2)
- tan(x)' = 1 / cos2(x)