Below is an *inverse cosecant calculator* (or *arccsc calculator*), which calculates an angle from the ratio from the cosecant function. Enter a result and choose to return radians or degrees, then compute the angle.

## Inverse Cosecant Calculator

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## Using the Arccosecant Calculator

To use the tool to find the angle from a known cosecant, enter the ratio and the units you'd like and compute.

**Cosecant**- ratio of the longest side to the opposite side**Output Degrees or Radians?**- choose to return degrees or radians

Once you're happy, click the "Compute Arccsc" button.

**Angle**- the input angle to get the cosecant you entered

## What is the arccosecant or inverse cosecant?

Arccosecant is the inverse of the cosecant, which is the ratio of the hypotenuse, or longest side, to the opposite side in a right triangle.

The hypotenuse is by definition the longest side. This constrains the arccosecant: you can only input a valid cosecant less than or equal to -1, or greater than or equal to 1.

### Arccosecant as a formula

Inverse cosecant is usually abbreviated as "arccsc" or "acsc", as in the following equation:

arccsc(y)=acsc(y)

Where it is the inverse of cosecant, or:

x=arccsc(y)\\y=csc(x)

*Next, see all the inverse trigonometric functions* or

*trigonometric functions in one tool.*