| Property | Value |
|---|---|
| Hex Value | $C6 |
| Categories | |
| Localizations |
|
tan(
Overview
Returns the tangent of a real number, expression, or list.
Availability: Token available everywhere.
Syntax
tan(value)
Arguments
| Name | Type | Optional |
|---|---|---|
| value | real|expression|real[] |
Location
tan
Description
tan(θ) calculates the tangent of the angle θ, which is defined by \(\tan \theta=\frac{\sin \theta}{\cos \theta}\)
The value returned depends on whether the calculator is in Radian or Degree mode. A full rotation around a circle is 2π radians, which is equal to 360°. The conversion from radians to degrees is angle180/π and from degrees to radians is angleπ/180. The tan( command also works on a list of real numbers.
Since tangent is defined as the quotient of sine divided by cosine, it is undefined for any angle such that cos(θ)=0.
In radians:
tan(π/4)
1
In degrees:
tan(45)
1
Advanced Uses
You can bypass the mode setting by using the ° (degree) and ʳ (radian) symbols. These next two commands will return the same values no matter if your calculator is in degrees or radians:
tan(45°)
1
tan(π/4¹ )
1
Error Conditions
- ERR:DATA TYPE is thrown if you supply a matrix or a complex argument.
- ERR:DOMAIN is thrown if you supply an angle of π/2±nπ (in radians, where n is an integer) or 90±180n (in degrees, where n is an integer), or when the input is ≥1E12.
Related Commands
Source: parts of this page were written by the following TI|BD contributors: burr, DarkerLine, GoVegan, Mr Dino, simplethinker, Timothy Foster, Weregoose, Xeda Elnara.
History
| Calculator | OS Version | Description |
|---|---|---|
| TI-82 | 1.0 | tan added |
| TI-83 | 0.01013 | Renamed tan to tan( |
Created: February 23, 2023 23:15:01