What is the cosecant (csc) function defined as?

The cosecant function, represented as csc, is defined as the reciprocal of the sine function. This means that for any angle ( \theta ), the cosecant is calculated by taking the inverse of the sine value:

[

csc(\theta) = \frac{1}{sin(\theta)}

]

This definition highlights that the csc function is particularly important in trigonometry as it relates to the sine function. It is used to find the reciprocal relationship in various trigonometric identities and equations. Understanding this definition helps in solving problems related to angles and triangles, and it is fundamental when working with trigonometric functions.