Cosecant Calculator

This calculator works out the cosecant of any angle, saving you from digging out a scientific calculator or misremembering the reciprocal rule. Cosecant, written csc(x), is one of the six trigonometric functions and is simply the reciprocal of sine, csc(x) = 1 / sin(x), so it turns up wherever sine does, in geometry, physics, engineering, surveying and navigation problems that involve angles and ratios. You enter a single angle and choose whether it is in degrees or radians from the dropdown. The calculator converts internally to radians, since that is the unit the underlying maths needs, and returns the cosecant value front and centre, with the same angle shown in both radians and degrees underneath so you can double-check what was actually calculated. Because sine repeats every 360 degrees (2 pi radians), the same cosecant value comes back for any equivalent angle, and the result is shown as undefined wherever sine is zero, at 0, 180 and 360 degrees and their multiples, since dividing by zero has no answer. A worked example below confirms the maths using a 30 degree angle, and the assumptions section explains the rounding applied to the displayed figures. Use it to check homework, verify a manual calculation, or get a quick trig value while working through a larger problem.

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