Template:DomainsImagesAndPrototypesOfTrigAndInverseTrigFunctions/doc

Usage with no options

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Calling

{{DomainsImagesAndPrototypesOfTrigAndInverseTrigFunctions}}

will display:


Name
Symbol Domain Image/Range Inverse
function
Domain Image of
principal values
sine
cosine
tangent
cotangent
secant
cosecant


With includeTableDescription

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Calling

{{DomainsImagesAndPrototypesOfTrigAndInverseTrigFunctions|includeTableDescription=true}}

will display:

The table below displays names and domains of the inverse trigonometric functions along with the range of their usual principal values in radians.

Name
Symbol Domain Image/Range Inverse
function
Domain Image of
principal values
sine
cosine
tangent
cotangent
secant
cosecant


With includeTableDescription and includeExplanationOfNotation

edit

Calling

{{DomainsImagesAndPrototypesOfTrigAndInverseTrigFunctions|includeTableDescription=true|includeExplanationOfNotation=true}}

will display:

The table below displays names and domains of the inverse trigonometric functions along with the range of their usual principal values in radians.

Name
Symbol Domain Image/Range Inverse
function
Domain Image of
principal values
sine
cosine
tangent
cotangent
secant
cosecant

The symbol denotes the set of all real numbers and denotes the set of all integers. The set of all integer multiples of is denoted by

The symbol denotes set subtraction so that, for instance, is the set of points in (that is, real numbers) that are not in the interval

The Minkowski sum notation and that is used above to concisely write the domains of is now explained.

Domain of cotangent and cosecant : The domains of and are the same. They are the set of all angles at which i.e. all real numbers that are not of the form for some integer

Domain of tangent and secant : The domains of and are the same. They are the set of all angles at which

See also

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