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In order for ANY function, trigonometric or not, to have an inverse function, it must be one-to-one.
That is, it must not happen that two different points in the domain have the same image in the range,
because if it does, the inverse is NOT a function.

The problem is that NONE of the trigonometric functions are one -to-one. So, in order to define
the inverse trigonometric functions, we must restrict their domain to a set in which the function
IS one-to-one.

In this video, I show you how to do that with the cosecant function and then we define the
inverse cosecant specify its domain and range, and go over a couple of properties. We also do a
couple of exercises