Cosecant Identity

The cosecant of an angle is the reciprocal of the sine of an angle. On the unit circle, the secant of an angle is equal to the hypotenuse of a right-triangle with an opposite side of length .

Cosecant Geometry on The Unit Circle

The graph of cosecant and sine is a visual way to remember that they are related together. As sine approaches so does the plot of cosecant. As sine approaches the plot of cosecant diverges to infinity.

Cosecant with Sine Graph