What is tan(arcsec(x/8)) ?

The solution to tan(arcsec(x/8)) is (sqrt(x^2-64))/8

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simplify tan(arcsec(x/8))

simplify

tan (arcsec (\frac{x}{8}))

\frac{x ^{2} - 64}{8}

Solution steps

tan (arcsec (\frac{x}{8}))

Use the following identity:

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

= (\frac{x}{8})^{2} - 1

Simplify

= \frac{x ^{2} - 64}{8}

\frac{cos ^{2} ( x )}{1 - sin ( - x )}

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