What is tan(arcsec(x/5)) ?

The solution to tan(arcsec(x/5)) is (sqrt(x^2-25))/5

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simplify tan(arcsec(x/5))

simplify

tan (arcsec (\frac{x}{5}))

\frac{x ^{2} - 25}{5}

Solution steps

tan (arcsec (\frac{x}{5}))

Use the following identity:

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

= (\frac{x}{5})^{2} - 1

Simplify

= \frac{x ^{2} - 25}{5}

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