What is tan(arcsec(x/9)) ?

The solution to tan(arcsec(x/9)) is (sqrt(x^2-81))/9

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simplify tan(arcsec(x/9))

simplify

tan (arcsec (\frac{x}{9}))

\frac{x ^{2} - 81}{9}

Solution steps

tan (arcsec (\frac{x}{9}))

Use the following identity:

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

= (\frac{x}{9})^{2} - 1

Simplify

= \frac{x ^{2} - 81}{9}

2 sin (x) - cos (9 0^{\circ} - x)

sin (arccos (13 x))

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tan (arccos (θ))