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Originally Posted by deltacoder1020
hence definitively reversible. also known as not being one-to-one, as you said. Essentially, the inverse function is not actually a function. it's all good 
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At least when it is not defined. arccos x is defined from 0 to 1 and arcsin x from -pi/2 to pi/2. This makes it one to one and gives it an inverse function.