# Cosecant Function

## Cosecant Function

Function f of {x ∈ $$\mathbb{R}$$ | xkπ where k ∈$$\mathbb{Z}$$} in $$\mathbb{R}$$ defined by f(x) = $$\dfrac{1}{\sin{(x)}}$$.

### Notation

• The cosecant function is noted as “cosec(x)” which is read as “cosecant of x.”
• Sometimes, the notation “csc(x)” is used to indicate “cosecant of x.”

### Example

Here is the representation of the basic function defined by the relation f(x) = cosec(x) where x ≠ kπ and where k ∈ $$\mathbb{Z}$$.