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: $x = \dfrac{\pi}{2}, \dfrac{3\pi}{2}, ...$