>>13867147You need a one to one function.
sine, cosine, tangent doesn't work for their entirety, because its cyclic nature produced many repeated output. With repeated output, if you get the preimage you will get multiple points (of x). This process of multiple answers isn't a function.
inverse trig function limits the output within a range of x, that doesn't repeat itself.
Some of the Hyperbolic functions can fit your need. [tanh(x)]
ln(x) and e^x are a pair of inverse function that are one to one to each other. by extension Log()