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Inverse Cosecant Calculator arccsc(x)

Written by:
PK

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

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.

Right triangle to illustrate trigonometry functions
Right Triangle Diagram (CC By-SA 3.0 Wikimedia)

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.

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