FANDOM


Cosecant (\csc) is a trigonometric ratio. In a right triangle with an angle \theta ,

\csc(\theta)=\frac{\text{hypotenuse}}{\text{opposite}}

\text{Opposite} is the side of the triangle not part of angle \theta , and \text{hypotenuse} is the side opposite the right angle.

Properties

The reciprocal of cosecant is sine (abbreviated as \sin), while its inverse is \arccsc or \csc^{-1} . Note that cosecant is not being raised to the power of -1; this is an inverse function, not a reciprocal.

The derivative of \csc(x) is -\csc(x)\cot(x) , while its antiderivative is \ln\bigl(\left|\tan(\tfrac{x}{2})\right|\bigr) .

Ad blocker interference detected!


Wikia is a free-to-use site that makes money from advertising. We have a modified experience for viewers using ad blockers

Wikia is not accessible if you’ve made further modifications. Remove the custom ad blocker rule(s) and the page will load as expected.