What is tan(arcsec(x/2)) ?

The solution to tan(arcsec(x/2)) is (sqrt(x^2-4))/2

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simplify tan(arcsec(x/2))

simplify

tan (arcsec (\frac{x}{2}))

\frac{x ^{2} - 4}{2}

Solution steps

tan (arcsec (\frac{x}{2}))

Use the following identity:

tan (arcsec (x)) = x^{2} - 1

= (\frac{x}{2})^{2} - 1

Simplify

= \frac{x ^{2} - 4}{2}

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