Explore: Secant Cotangent

Specifically, they are the inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions, and are used to obtain an angle from any

functions. Their reciprocals are respectively the cosecant, the secant, and the cotangent functions, which are less used. Each of these six trigonometric

tangent, inverse hyperbolic cosecant, inverse hyperbolic secant, and inverse hyperbolic cotangent. They are commonly denoted by the symbols for the hyperbolic

tangent "tanh" (/ˈtæŋ, ˈtæntʃ, ˈθæn/), hyperbolic cotangent "coth" (/ˈkɒθ, ˈkoʊθ/), hyperbolic secant "sech" (/ˈsɛtʃ, ˈʃɛk/), hyperbolic cosecant "csch"

The external secant function (abbreviated exsecant, symbolized exsec) is a trigonometric function defined in terms of the secant function: exsec ⁡ θ =

(circular) cotangent function. Considering the (scaled) sum of r {\displaystyle r} independent and identically distributed hyperbolic secant random variables:

The following is a list of integrals (anti-derivative functions) of hyperbolic functions. For a complete list of integral functions, see list of integrals

is true of secant (Latin: secans) and cosecant (Latin: cosecans, secans complementi) as well as of tangent (Latin: tangens) and cotangent (Latin: cotangens

The following is a list of indefinite integrals (antiderivatives) of expressions involving the inverse hyperbolic functions. For a complete list of integral

Syria); Arabic for "cotangent" is ظل تمام Secant sec {\displaystyle \sec } ٯا from ٯا dotless ق qāf-ʾalif; Arabic for "secant" is قاطع Cosecant csc