| Property | Value |
|---|---|
| Hex Value | $C7 |
| Categories | |
| Localizations |
|
tan⁻¹(
Overview
Returns the arctangent of a real number, expression, or list.
Availability: Token available everywhere.
Syntax
tan⁻¹(value)
Arguments
| Name | Type | Optional |
|---|---|---|
| ⁻¹ | real|expression|real[] | |
| value | real|expression|real[] |
Location
2nd, tan⁻¹
Description
tanֿ¹( returns the arctangent of its argument. It is the inverse of tan(, which means that tanֿ¹(n) produces an angle θ such that tan(θ)=n.
Like tan(, the result of tanֿ¹( depends on whether the calculator is in Radian or Degree mode. However, unlike tangent, the result is in degrees or radians, not the argument. A full rotation around a circle is 2π radians, which is equal to 360°. The conversion of θ=tanֿ¹(n) from radians to degrees is θ180/π and from degrees to radians is θπ/180. The tanֿ¹( command also works on a list.
tanֿ¹( will always return a value between -π/2 and π/2 (or -90° and 90°).
In radians:
:tanֿ¹(1)
.7853981634
In degrees:
:tanֿ¹(1)
45
Optimization
Expressions of the form tanֿ¹(y__/x) are usually better recast as R►Pθ(x,y); the latter will not fail even if x should happen to be equal to zero.
Error Conditions
- ERR:DATA TYPE is thrown if you input a complex value or a matrix.
Related Commands
Source: parts of this page were written by the following TI|BD contributors: burr, DarkerLine, GoVegan, thornahawk.
History
| Calculator | OS Version | Description |
|---|---|---|
| TI-82 | 1.0 | tan⁻¹ added |
| TI-83 | 0.01013 | Renamed tan⁻¹ to tan⁻¹( |