Template:Atan

The following documentation is located at Template:Atan/doc. [<Edit> Template:Atan/doc]
[⧼Purge⧽ Template:Atan]

The {{atan}} circular function template returns the arc tangent (a circular angle in $\scriptstyle ({\frac {-\pi }{2}},\,{\frac {+\pi }{2}})\,$ radians) of $\scriptstyle x\,$, where $\scriptstyle x\,$ is a real number.

Note that you may also use the atan operator (used within the {{#expr: }} parser function extension, e.g. {{#expr: atan 1 }}) which also returns a circular angle in $\scriptstyle ({\frac {-\pi }{2}},\,{\frac {+\pi }{2}})\,$ radians.

Usage

{{atan|a real number}}

Valid input

A real number.

Examples

Examples with valid input

Code	Result
{{atan|- (3^(1/2))}}	-1.0471975511966
{{atan|-1}}	-0.78539816339745
{{atan|- 1 / 3^(1/2)}}	-0.5235987755983
{{atan|0}}	0
{{atan|1 / 3^(1/2)}}	0.5235987755983
{{atan|1}}	0.78539816339745
{{atan|3^(1/2)}}	1.0471975511966

Examples with invalid input (returns an error message)

Code	Result
{{atan|i}}

Code

Currently (using built-in error message)

{{#expr: atan ({{{1}}}) }}

instead of (using custom error message)

{{ifnum| {{{1|NAN}}}
| {{#expr: atan ({{{1}}}) }}
| {{error| Atan error: Argument must be a real number }}
}}

See also

• Trigonometric functions
  • Circular functions
  • Hyperbolic functions
• Inverse trigonometric functions
  • Inverse circular functions
  • Inverse hyperbolic functions

• {{sin}}
• {{cos}}
• {{tan}}

• {{csc}}
• {{sec}}
• {{cot}}

• {{arcsin}} or {{asin}}
• {{arccos}} or {{acos}}
• {{arctan}} or {{atan}} (see also {{atan2}})

• {{arccsc}} or {{acsc}}
• {{arcsec}} or {{asec}}
• {{arccot}} or {{acot}}