Cosecant Calculator

Find the cosecant of an angle, or find the angle from a known cosecant value.

⏱ Updated: 19 Sep 2026

Calculator

Free cosecant calculator: find the cosecant of an angle, or find the angle from a known cosecant value.

Calculate the cosecant of an angle, or find the angle from a known cosecant value.

How to Use the Cosecant Calculator

In Angle → csc mode, enter an angle to find its cosecant. In csc → Angle mode, enter a cosecant value instead to find the angle.

csc(θ) = 1 ÷ sin(θ)

Cosecant is sine's reciprocal, which means it inherits sine's range (−1 to 1) as a restriction in reverse — since dividing 1 by a number between −1 and 1 always produces something with absolute value 1 or greater, cosecant can never land between −1 and 1 itself. It's also undefined wherever sine is exactly zero (0°, 180°, 360°...), the one input this calculator has to reject rather than divide by.