[b]uSecant[/u]/b

(\sec{x} = \dfrac{1}{\cos{x}})

Domain: (x∈ℝ, x\neq \dfrac{\pi}{2}, \dfrac{3\pi}{2}, ... )

Range: (y≤-1, y≥1)

Periodicity: (2\pi)

Asymptote: (x = \pi, 2\pi, ... )

mtaimg/images/topics/5/5-53-1.png/mtaimg

[b]uCosecant[/u]/b

(\cosec{x} = \dfrac{1}{\sin{x}})

Domain: (x∈ℝ, x\neq \pi, 2\pi, ... )

Range: (y≤-1, y≥1)

Periodicity: (2\pi)

Asymptote: (x = \dfrac{\pi}{2}, \dfrac{3\pi}{2}, ... )

mtaimg/images/topics/5/5-53-2.png/mtaimg

[b]uCotangent[/u]/b

(\cot{x} = \dfrac{1}{\tan{x}})

Domain: (x∈ℝ, x\neq \pi, 2\pi, ... )

Range: (y∈ℝ)

Periodicity: (\pi)

Asymptote: (x = \dfrac{\pi}{2}, \dfrac{3\pi}{2}, ... )

mtaimg/images/topics/5/5-53-3.png/mtaimg

[b]uReciprocal trigonometric functions[/u]/b

(\sec{x} = \dfrac{1}{\cos{x}})

(\cosec{x} = \dfrac{1}{\sin{x}})

(\cot{x} = \dfrac{1}{\tan{x}})