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$$4-2 \sqrt{2-2 \cos (t)} \cot \left(\frac{t}{2}\right)$$ $$\left\{4 \sin ^{-1}\left(\frac{\sqrt{s}}{  2 \sqrt{2}}\right)-\sin \left(4 \sin  ^{-1}\left(\frac{\sqrt{s}}{ 2  \sqrt{2}}\right)\right),1-\cos \left(4 \sin  ^{-1}\left(\frac{\sqrt{s}}{ 2  \sqrt{2}}\right)\right)\right\}$$

See Help:Displaying a formula. Use the TeXForm function in Mahtematica.

Sometimes you only need a bit of it. In the following Mathematica won't construe "f(x)"

$$f(x)=\frac{1}{x}$$