Trigonometric functions#Reciprocal functions
Secant and cosecant are trigonometric functions. The secant is designated, the cosecant with or. The functions get their name by the definition in the unit circle. The function values correspond to the length of Sekantenabschnitten:
In the right triangle the secant is the ratio of the adjacent side to the hypotenuse to and thus the inverse function of the cosine function.
The cosecant is the ratio of the hypotenuse to the opposite side and thus the inverse function of the sine function:
Properties
Graphs
Domain
Range of values
Periodicity
Symmetries
Poles
Extreme values
Zeros
Both functions have no zeros.
Asymptotes
Both functions have no horizontal asymptotes.
Jump points
Both functions have no discontinuities.
Turning points
Both functions have no turning points.
Inverse functions
Secant:
Cosecant
Series expansion
Secant:
Cosecant:
Derivation
Secant:
Cosecant
Integral
Secant:
Cosecant