Definition
Arctangent (arctg or arctan) is the inverse trigonometric function.
Arctangent x defined as the inverse function of the tangent xWhere x – any number (x∈ℝ).
If the tangent of the angle у is х (tg y = x), which means arc tangent x equals y:
arctg x = tg-1 x = y, and -π/2y<π/2
Note: tg-1x means inverse tangent, not tangent to the power -1.
For example:
arctg 1 = tg-1 1 = 45° = π/4 rad
If the schedule is delayed
The arctangent function is written as y = arctg (x). The chart in general looks like this:
Arc tangent properties
Below in tabular form are the main properties of the arc tangent with formulas.
| Property | Formula |
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«>Arctangent table
| -90 ° | -p/2 | -∞ | ||
| -71.565 ° | -1.2490 | -3 | ||
| -63.435 ° | -1.1071 | -2 | ||
| -60 ° | -p/3 | -45 ° | -p/4 | -1 |
| -30 ° | -p/6 | -26.565 ° | -0.4636 | -0.5 |
| 0° | 0 | 0 | ||
| 26.565° | 0.4636 | 0.5 | ||
| 30° | Π / 6 | 45° | Π / 4 | 1 |
| 60° | Π / 3 | 63.435° | 1.1071 | 2 |
| 71.565° | 1.2490 | 3 | ||
| 90° | Π / 2 | ∞ |