Secant

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

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

Range: \(y≤-1, y≥1\)

Periodicity: \(2\pi\)

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



Cosecant

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

Domain: \(x∈ℝ, x\neq \pi, 2\pi, ... \)

Range: \(y≤-1, y≥1\)

Periodicity: \(2\pi\)

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



Cotangent

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

Domain: \(x∈ℝ, x\neq \pi, 2\pi, ... \)

Range: \(y∈ℝ\)

Periodicity: \(\pi\)

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