Online Calculators & Tools
Calculation with tan(angle deg|rad):
| x | tan(x) | |
|---|---|---|
| degrees | radians | |
| -60° | -π/3 | -1.732050808 |
| -90° | -π/2 | not defined |
| -30° | -π/6 | -0.577350269 |
| -45° | -π/4 | -1 |
| 0° | 0 | 0 |
| 30° | π/6 | 0.577350269 |
| 60° | π/3 | 1.732050808 |
| 45° | π/4 | 1 |
| 90° | π/2 | not defined |
| Rule name | Rule |
|---|---|
| Symmetry | tan(-θ) = -tan θ |
| Symmetry | tan(90°- θ) = cot θ |
| tan θ = sin θ / cos θ | |
| tan θ = 1 / cot θ | |
| Double angle | tan 2θ = 2 tan θ / (1 - tan2 θ) |
| Angles sum | tan(α+β) = (tan α + tan β) / (1 - tan α tan β) |
| Angles difference | tan(α-β) = (tan α - tan β) / (1 + tan α tan β) |
| Derivative | tan' x = 1 / cos2(x) |
| Integral | ∫ tan x dx = - ln |cos x| + C |
| Euler's formula | tan x = (eix - e-ix) / i (eix + e-ix) |