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Trigonometric functions are periodic so they are many-to-one.

It is therefore important to define the domains and ranges of their inverses in such a way the the inverse function is not one-to-many. Thus the range for arcsin is [-pi/2, pi/2], arccos is [0, pi] and arctan is (-pi/2, pi/2).

However, these functions can be used, along with the periodicities to establish relations which extend solutions beyond the above ranges.

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