Template:Tan

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

The {{tan}} circular function template returns the tangent of $\scriptstyle x\,$, where $\scriptstyle x\,$ is a real number expressing a circular angle in radians.

Note that you may also use the tan operator (used within the {{#expr: }} parser function extension, e.g. {{#expr: tan (pi/6) }}) which also takes a circular angle in radians as argument.

Usage

{{tan|a real number}}

Valid input

A real number (expressing a circular angle in radians) as argument.

Examples

Examples with valid input

Code	Result
{{tan|-5*pi/2}}	-3.2662478706391E+15
{{tan|-pi/2}}	-1.6331239353195E+16
{{tan|-pi/3}}	-1.7320508075689
{{tan|-pi/4}}	-1
{{tan|-pi/6}}	-0.57735026918963
{{tan|0}}	0
{{tan|pi/6}}	0.57735026918963
{{tan|pi/4}}	1
{{tan|pi/3}}	1.7320508075689
{{tan|pi/2}}	1.6331239353195E+16
{{tan|5*pi/2}}	3.2662478706391E+15

Examples with invalid input (returns an error message)

Code	Result
{{tan|i}}

Code

Currently (using built-in error message)

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

instead of (using custom error message)

{{ifnum| {{{1|NAN}}}
| {{#expr: tan ({{{1}}}) }}
| {{error| Tan error: Argument must be a real number (circular angle in radians) }}
}}

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}}