The value of the cosecant is undefined when it falls on a vertical line passing through a point on the x axis at which the sine value is 0. The sine and cosecant functions are reciprocals of each other.

To plot a cosecant value, you can begin on the x axis at . The value of the cosecant at this point is 1. As you move to the left, toward 0 from , the value of the secant rises infinitely as it approaches 0. It is undefined at 0. Moving in a positive direction along the x axis from , the value of the cosecant increases. As ...

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