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So you are asked to find the inverse of a function f(x).
The inverse function is denoted by f ^-1(x).
To help with this we can use the identity f(f ^-1(x))=x.
Now,...

The quotient rule is a formula used to differentiate fractions that contain terms of x in both the numerator and the denominator (we usually refer to this as f(x)/g(x)).
As it isn't possible to diffe...

Sorry in advance for the lack of a diagram, which would have made this explanation so much clearer. Also, the published version of this seems to ignore Unicode formatting, so I will add underscores (_)...

First, recall that tan(x) can be rewritten in terms of sine and cosine.

tan(x) = sin(x)/cos(x)

The rephrasing of our question suggests that we should try the substitution ru...