Cosecant Calculator

Find the cosecant of an angle in degrees or radians and visualize it on the unit circle.

Enter Angle

Angle Value:

Unit:

Cosecant Value:

Visualization

Cosecant is undefined for this angle because the sine of the angle is zero.

Understanding Cosecant (csc)

In trigonometry, the cosecant (csc) of an angle is the reciprocal of its sine (sin). Simply put, it's 1 divided by the sine of the angle.

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

Cosecant becomes undefined when the sine of the angle is zero. This happens at angles like 0°, 180°, 360°, and so on (or 0, π, 2π radians). Our calculator helps you explore cosecant for any angle in degrees or radians, showing you visually on the unit circle how it relates to the angle.

Use this tool to deepen your understanding of trigonometric functions and their behavior. Experiment with different angles and observe how the cosecant value changes and is represented on the unit circle.