It is the reciprocal of the sine ratio.
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cosecant
The six basic functions of trigonometry are the sine, cosine, tangent, cosecant, secant, and cotangent functions. Abbreviated sin, cos, tan, csc, sec, cot.
The inverse of sine (sin) is cosecant (csc). The inverse of cosine (cos) is secant (sec). The inverse of tangent (tan) is cotangent (cot).
Algebra is basically arithmetic with variable expressions, trigonometry comes after algebra because you need algebra to understand sine, cosine, tangent, as well as secant, cosecant, and cotangent.
There is no minimum value for the cosecant function.